Kumpulan Soal SMA, MA, SMK Dan Pembahasannya: Eksponen

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<b><a href="https://soalkelas-xxixii.blogspot.com/">Soal Matematika Kelas 10 Materi Eksponen dan Pembahasannya Kurikulum 2013</a></b> ini merupakan contoh soal terbaru yang akan saya bagikan bagi Bapak/Ibu yang mengampu mata pelajaran Matematika Kelas 10 SMA/MA yang telah menerapkan Kurikulum 2013. <b>Eksponen</b> adalah perkalian berulang dari suatu bilangan yang dinyatakan dalam bentuk a^m = a.a.a.a. ... (Sebanyak m faktor) dimana a > 0 dan a tidak sama dengan 1. a kemudian disebut bilangan pokok dan m adalah pangkat.<br />
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<span style="font-weight: normal;">Bank Soal Matematika SMA/MA/SMK Kelas 10</span></h2>
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<b>Sifat - sifat Eksponen/ perpangkatan:</b></div>
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<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKnqpq3oreEpSO5XpXaD2SZRYWJm7yJAS1wTpi8YykdyPsI9dgDr8AgXB_8JM3Y051DLkO7KY9Ob3UZoi9pcHjv9hYsVnGN0aOp-zTfiNbZTxDnATJZ83tbYSGS7cAAe259pH8Ds_F1HX2/s1600/sifat-sifat-fungsi-eksponen.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="148" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgKnqpq3oreEpSO5XpXaD2SZRYWJm7yJAS1wTpi8YykdyPsI9dgDr8AgXB_8JM3Y051DLkO7KY9Ob3UZoi9pcHjv9hYsVnGN0aOp-zTfiNbZTxDnATJZ83tbYSGS7cAAe259pH8Ds_F1HX2/s400/sifat-sifat-fungsi-eksponen.jpg" width="400" /></a></div>
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Berikut ini contoh <b>Soal Ulangan Harian Eksponen SMA/MA Kelas X Kurikulum 2013:</b></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Nilai x yang memenuhi persamaan <span style="border-color: initial; border-image: initial; border-width: initial;"><img alt="\dfrac{\sqrt[3]{\dfrac{1}{9^{2-x}}}}{27}" class="latex" src="https://s0.wp.com/latex.php?latex=%5Cdfrac%7B%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B9%5E%7B2-x%7D%7D%7D%7D%7B27%7D&bg=ffffff&fg=666666&s=0" style="border: none; max-width: 100%; vertical-align: middle;" title="\dfrac{\sqrt[3]{\dfrac{1}{9^{2-x}}}}{27}" /></span> = 3<span style="border: 0px; bottom: 1ex; font-family: "pt serif" , serif; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">x+1</span> adalah …</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">A. -16</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">B. -7</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">C. 4</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">D. 5</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">E. 6<span id="more-3924" style="border: 0px; font-family: "pt serif" , serif; font-size: 13.3333px; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"></span></span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><strong style="border: 0px; font-family: "PT Serif", serif; font-size: 13.3333px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">PEMBAHASAN :</strong></span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><img alt="\dfrac{\sqrt[3]{\dfrac{1}{9^{2-x}}}}{27}" class="latex" src="https://s0.wp.com/latex.php?latex=%5Cdfrac%7B%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B9%5E%7B2-x%7D%7D%7D%7D%7B27%7D&bg=ffffff&fg=666666&s=0" style="border: none; max-width: 100%; vertical-align: middle;" title="\dfrac{\sqrt[3]{\dfrac{1}{9^{2-x}}}}{27}" /> = 3<span style="border: 0px; bottom: 1ex; font-family: "pt serif" , serif; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">x+1</span></span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><img alt="\left( \dfrac{1}{9^{2-x}} \right)^{\frac{1}{3}}" class="latex" src="https://s0.wp.com/latex.php?latex=%5Cleft%28+%5Cdfrac%7B1%7D%7B9%5E%7B2-x%7D%7D+%5Cright%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D&bg=ffffff&fg=666666&s=0" style="border: none; max-width: 100%; vertical-align: middle;" title="\left( \dfrac{1}{9^{2-x}} \right)^{\frac{1}{3}}" /> = 3<span style="border: 0px; bottom: 1ex; font-family: "pt serif" , serif; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">x+1</span>.27</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">9<span style="border: 0px; bottom: 1ex; font-family: "pt serif" , serif; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">-1/3(2 – x)</span> = 3<span style="border: 0px; bottom: 1ex; font-family: "pt serif" , serif; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">x + 1</span>.3<span style="border: 0px; bottom: 1ex; font-family: "pt serif" , serif; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">3</span></span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">3<span style="border: 0px; bottom: 1ex; font-family: "pt serif" , serif; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">2(-2/3 + x/3)</span> = 3<span style="border: 0px; bottom: 1ex; font-family: "pt serif" , serif; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">x + 4</span></span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><img alt="2 \left( -\dfrac{2}{3} + \dfrac{x}{3} \right) = x + 4" class="latex" src="https://s0.wp.com/latex.php?latex=2+%5Cleft%28+-%5Cdfrac%7B2%7D%7B3%7D+%2B+%5Cdfrac%7Bx%7D%7B3%7D+%5Cright%29+%3D+x+%2B+4&bg=ffffff&fg=666666&s=0" style="border: none; max-width: 100%; vertical-align: middle;" title="2 \left( -\dfrac{2}{3} + \dfrac{x}{3} \right) = x + 4" /> [kali 3 kedua ruas]</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">-4 + 2x = 3x + 12</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">-16 = x</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><strong style="border: 0px; font-family: "PT Serif", serif; font-size: 13.3333px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">JAWABAN : A</strong></span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">Nilai x yang memenuhi persamaan <img alt="\dfrac{0,09^{1/2(x-3)}}{0,3^{3x+1}}" class="latex" src="https://s0.wp.com/latex.php?latex=%5Cdfrac%7B0%2C09%5E%7B1%2F2%28x-3%29%7D%7D%7B0%2C3%5E%7B3x%2B1%7D%7D&bg=ffffff&fg=666666&s=0" style="border: none; max-width: 100%; vertical-align: middle;" title="\dfrac{0,09^{1/2(x-3)}}{0,3^{3x+1}}" /> = 1 adalah …</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">A. -2</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">B. -1</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">C. 0</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">D. 1</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">E. 2</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><strong style="border: 0px; font-family: "PT Serif", serif; font-size: 13.3333px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">PEMBAHASAN :</strong></span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><img alt="\dfrac{0,09^{1/2(x-3)}}{0,3^{3x+1}}" class="latex" src="https://s0.wp.com/latex.php?latex=%5Cdfrac%7B0%2C09%5E%7B1%2F2%28x-3%29%7D%7D%7B0%2C3%5E%7B3x%2B1%7D%7D&bg=ffffff&fg=666666&s=0" style="border: none; max-width: 100%; vertical-align: middle;" title="\dfrac{0,09^{1/2(x-3)}}{0,3^{3x+1}}" /> = 1</span></div>
<div style="border: 0px; font-style: inherit; font-weight: inherit; margin-bottom: 1.5em; outline: 0px; padding: 0px; text-align: justify; vertical-align: baseline;">
<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">0,3<span style="border: 0px; bottom: 1ex; font-family: "pt serif" , serif; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">2(1/2(x-3))</span> = 0,3<span style="border: 0px; bottom: 1ex; font-family: "pt serif" , serif; font-size: 10px; font-style: inherit; font-weight: inherit; height: 0px; line-height: 0; margin: 0px; outline: 0px; padding: 0px; position: relative; vertical-align: baseline;">3x+1</span></span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">2(<img alt="\dfrac{1}{2}" class="latex" src="https://s0.wp.com/latex.php?latex=%5Cdfrac%7B1%7D%7B2%7D&bg=ffffff&fg=666666&s=0" style="border: none; max-width: 100%; vertical-align: middle;" title="\dfrac{1}{2}" />(x-3)) = 3x + 1</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">x – 3 = 3x + 1</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">-4 = 2x</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">-2 = x</span></div>
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<span style="border: 0px; font-family: "courier new"; font-size: 10pt; font-style: inherit; font-weight: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;"><strong style="border: 0px; font-family: "PT Serif", serif; font-size: 13.3333px; font-style: inherit; margin: 0px; outline: 0px; padding: 0px; vertical-align: baseline;">JAWABAN : A</strong></span></div>
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