document.write( "Question 1186219: Find the value of log 16 to base 1/2\r
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Algebra.Com's Answer #817110 by greenestamps(13195)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "\"x=log%281%2F2%2C16%29\"

\n" ); document.write( "Put the equation in exponential form:

\n" ); document.write( "\"%281%2F2%29%5Ex=16\"

\n" ); document.write( "1/2 and 16 are both integer powers of 2, so you don't need to use logarithms to solve the equation.

\n" ); document.write( "\"%282%5E%28-1%29%29%5Ex=2%5E4\"
\n" ); document.write( "\"2%5E%28-x%29=2%5E4\"

\n" ); document.write( "The bases are the same, so the exponents are equal

\n" ); document.write( "\"-x=4\"
\n" ); document.write( "\"x=-4\"

\n" ); document.write( "ANSWER: log(1/2,16) = -4

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