document.write( "Question 153726This question is from textbook Intermediate Algebra
\n" ); document.write( ": Evaluate the expression log(base 8)8^5.
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Algebra.Com's Answer #113155 by jim_thompson5910(35256) $\"\"$ $\"About$

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$\"log%288%2C%288%5E5%29%29\"$ Start with the given expression\r
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\n" ); document.write( "\n" ); document.write( " $\"5%2Alog%288%2C%288%29%29\"$ Rewrite the expression using the identity $\"log%28b%2C%28x%5Ey%29%29=y%2Alog%28b%2C%28x%29%29\"$ . In other words, simply pull down the exponent and place it in front of the log.\r
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\n" ); document.write( "\n" ); document.write( " $\"5%2A1\"$ Evaluate the log base 8 of 8 to get 1. Note: $\"log%28b%2C%28b%29%29=1\"$ where $\"b%3E0\"$ . \r
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\n" ); document.write( "\n" ); document.write( " $\"5\"$ Multiply.\r
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\n" ); document.write( "\n" ); document.write( "So $\"log%288%2C%288%5E5%29%29=5\"$ \n" ); document.write( "

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