document.write( "Question 615329: log4(64/y)=?\r
\n" ); document.write( "\n" ); document.write( "4 to what power = 64/y\r
\n" ); document.write( "\n" ); document.write( "How do I go about solving this? \n" ); document.write( "

Algebra.Com's Answer #387072 by jsmallt9(3758) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%284%2C%2864%2Fy%29%29\"$
\n" ); document.write( "This is an expression. Expressions are simplified, not solved.

\n" ); document.write( "Simplifying this expression requires that we recognize a) that 64 is a power of 4 so its base 4 logarithm can be found; and b) that there is a property of logarithms, $\"log%28a%2C+%28p%2Fq%29%29+=+log%28a%2C+%28p%29%29+-+log%28a%2C+%28q%29%29\"$ , that will allow us to separate the 64 and the y.

\n" ); document.write( " $\"log%284%2C%2864%29%29+-+log%284%2C+%28y%29%29\"$
\n" ); document.write( "And since $\"64+=+4%5E3\"$ this simplifies to:
\n" ); document.write( " $\"3+-+log%284%2C+%28y%29%29\"$
\n" ); document.write( " \n" ); document.write( "

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