document.write( "Question 1132096: Given that 4^-n = 32.
\n" ); document.write( "Find the value of n \n" ); document.write( "

Algebra.Com's Answer #748983 by Alan3354(69443) $\"\"$ $\"About$

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Given that 4^-n = 32.
\n" ); document.write( "Find the value of n
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\n" ); document.write( "Find the log of each side.
\n" ); document.write( " $\"log%284%5E%28-n%29%29+=+log%2832%29\"$
\n" ); document.write( "-n*log(4) = log(32)
\n" ); document.write( "n = -log(32)/log(4)
\n" ); document.write( "n = -2.5
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\n" ); document.write( "Edwin's approach is simpler, but could not be used if the problem were:
\n" ); document.write( "Given that 4^-n = 33.
\n" ); document.write( "Find the value of n \n" ); document.write( "

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