document.write( "Question 847703: how do I solve this equation: (1/16) raised to power x equals 2 ??? \n" ); document.write( "

Algebra.Com's Answer #510651 by Alan3354(69443) $\"\"$ $\"About$

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how do I solve this equation: (1/16) raised to power x equals 2 ???
\n" ); document.write( "----------
\n" ); document.write( " $\"%281%2F16%29%5Ex+=+2\"$
\n" ); document.write( "The \"hard way\"
\n" ); document.write( "x*log(1/16) = log(2)
\n" ); document.write( "x = log(2)/log(1/16)
\n" ); document.write( "x = -0.25 = -1/4
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\n" ); document.write( "If you spot that 1/16 = 2^-4, then
\n" ); document.write( " $\"%282%5E-4%29%5Ex+=+2\"$
\n" ); document.write( " $\"2%5E%28-4x%29+=+2%5E1\"$
\n" ); document.write( "-4x = 1
\n" ); document.write( "x = -1/4
\n" ); document.write( " \n" ); document.write( "

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