document.write( "Question 302903: How do I solve 64=(1/16)^x \n" ); document.write( "

Algebra.Com's Answer #217166 by Alan3354(69443) $\"\"$ $\"About$

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How do I solve 64=(1/16)^x
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\n" ); document.write( "One way:
\n" ); document.write( "64 = 2^6
\n" ); document.write( "1/16 = 2^(-4)
\n" ); document.write( " $\"2%5E6+=+x%2A2%5E%28-4%29\"$
\n" ); document.write( "6 = -4x
\n" ); document.write( "x = -3/2
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\n" ); document.write( "Another way:
\n" ); document.write( "log(64) = x*log(1/16)
\n" ); document.write( "x = log(64)/log(1/16)
\n" ); document.write( "x = -3/2
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