document.write( "Question 1019843: Solve for x
\n" ); document.write( "(1/16)^x=4(64)^x \n" ); document.write( "

Algebra.Com's Answer #635766 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can take the log to the base $\"+4+\"$
\n" ); document.write( "of both sides
\n" ); document.write( " $\"+%28+1%2F16+%29%5Ex+=+4%2A%28+64+%29%5Ex+\"$
\n" ); document.write( " $\"+x%2A%28+-2+%29++=+1+%2B+x%2A3+\"$
\n" ); document.write( " $\"+-2x+=+1+%2B+3x+\"$
\n" ); document.write( " $\"+5x+=+-1+\"$
\n" ); document.write( " $\"+x+=+-1%2F5+\"$
\n" ); document.write( "------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+1%2F16+%29%5E%28-1%2F5%29+=+4%2A64%5E%28-1%2F5%29+\"$
\n" ); document.write( "I'll do it with calculator
\n" ); document.write( " $\"+.0625%5E%28-.2%29+=+4%2A64%5E%28-.2%29+\"$
\n" ); document.write( " $\"+1.7411+=+4%2A.4353+\"$
\n" ); document.write( " $\"+1.7411+=+1.7411+\"$
\n" ); document.write( "OK \n" ); document.write( "

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