document.write( "Question 280812: (logx/log2x)=(log4x/log8x) solve for x \n" ); document.write( "
Algebra.Com's Answer #204073 by stanbon(75887)\"\" \"About 
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(logx/log2x)=(log4x/log8x) solve for x
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\n" ); document.write( "(log(x))/[log(2) + log(x)] = [log(4)+log(x)]/[log(8)+log(x)]
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\n" ); document.write( "Cross-multiply:
\n" ); document.write( "log(x)*log(8) + log(x)^2 = log(2)*log(4) + log(2)*log(x) + log(x)*log(4)
\n" ); document.write( "+(log(x))^2
\n" ); document.write( "---------------------
\n" ); document.write( "Simplify:
\n" ); document.write( "Remove log(x)^2
\n" ); document.write( "---
\n" ); document.write( "log(x)*log(8) = log(2)*log(4) + log(2)*log(x) + log(x)*log(4)
\n" ); document.write( "----
\n" ); document.write( "log(x)[log(8)-log(2)-log(4)] = log(2)*log(4)
\n" ); document.write( "----
\n" ); document.write( "log(x) = [log(2)*log(4)]/[log(8)-log(2)-log(4)]
\n" ); document.write( "---
\n" ); document.write( "log(x) = [log(2)*log(4)]/[log[8/(2*4)]
\n" ); document.write( "log(x) = [log(2)*log(4)]/log(1)
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\n" ); document.write( "If the arithmetic is correct there is no solution since log(1) = 0
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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