document.write( "Question 116158: 1. log(3)x=-2
\n" ); document.write( "(answers: -8, -6, 1/9, 9)\r
\n" ); document.write( "\n" ); document.write( "2. 7^x=8\r
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Algebra.Com's Answer #84452 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
#1\r
\n" ); document.write( "\n" ); document.write( "\"log%283%2C%28x%29%29=-2\" Start with the given equation. \r
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\n" ); document.write( "\n" ); document.write( "\"3%5E%28-2%29=x\" Rewrite the equation using the property: \"log%28b%2C%28x%29%29=y\" ====> \"b%5Ey=x\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F3%5E2=x\" Rewrite \"3%5E%28-2%29\" as \"1%2F3%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"1%2F9=x\" Evaluate \"3%5E2\" to get 9\r
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\n" ); document.write( "\n" ); document.write( "So our answer is \"x=1%2F9\"\r
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\n" ); document.write( "\n" ); document.write( "\"7%5Ex=8\" Start with the given equation.\r
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\n" ); document.write( "\n" ); document.write( "\"log%2810%2C%287%5Ex%29%29=log%2810%2C%288%29%29\" Take the log of both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"x%2Alog%2810%2C%287%29%29=log%2810%2C%288%29%29\" Rewrite the left side using the identity \"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\" .\r
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\n" ); document.write( "\n" ); document.write( "\"x=log%2810%2C%288%29%29%2Flog%2810%2C%287%29%29\" Divide both sides by \"log%2810%2C%287%29%29\" to isolate x\r
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\n" ); document.write( "\n" ); document.write( "\"x=1.06862156132407\" Now simply use a calculator to evaluate the right side\r
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\n" ); document.write( "\n" ); document.write( "So our approximate answer is \"x=1.07\"
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