document.write( "Question 417262: if g(x) = log4 x, find g(8) \n" ); document.write( "

Algebra.Com's Answer #292148 by jsmallt9(3759) $\"\"$ $\"About$

You can put this solution on YOUR website!
I assume \"log4 x\" means $\"log%284%2C+%28x%29%29\"$ .

\n" ); document.write( " $\"g%288%29+=+log%284%2C+%28%288%29%29%29\"$
\n" ); document.write( "Since 4, the base, and 8, the argument, are both powers of 2 ( $\"4+=+2%5E2\"$ and $\"8+=+2%5E3\"$ ), we will be able find find this logarithm without the use of a calculator. We will use the change of base formula, $\"log%28a%2C+%28p%29%29+=+log%28b%2C+%28p%29%29%2Flog%28b%2C+%28a%29%29\"$ , to convert this base 4 log into an expression of base 2 logs:
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