document.write( "Question 174949: Given that log_2 x=5, evaluate:
\n" ); document.write( "log_2(4x^2)
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Algebra.Com's Answer #130018 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Given that log_2(x) = 5,
\n" ); document.write( "write the exponent equiv
\n" ); document.write( " $\"2%5E5\"$ = x
\n" ); document.write( "x = 32
\n" ); document.write( ":
\n" ); document.write( " evaluate:
\n" ); document.write( "log_2(4x^2) = y
\n" ); document.write( "Substitute 32 for x
\n" ); document.write( "log_2(4*32^2) = y
\n" ); document.write( "log_2(4*1024) = y
\n" ); document.write( "find y
\n" ); document.write( "log_2(4096) = y
\n" ); document.write( "the exponent equiv:
\n" ); document.write( " $\"2%5Ey\"$ = 4096
\n" ); document.write( "y = 12; we know that 2^12 = 4096
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