document.write( "Question 591513: log base 4 of 3x = log base 32 of 7x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "whats x???
\n" ); document.write( "

Algebra.Com's Answer #375651 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
log base 4 of 3x = log base 32 of 7x \r
\n" ); document.write( "\n" ); document.write( "-----
\n" ); document.write( "log4(3x) = log32(7x)
\n" ); document.write( "-----
\n" ); document.write( "= log(3x)/log(4) = log(7x)/log(32)
\n" ); document.write( "------
\n" ); document.write( "Let the base be 2:
\n" ); document.write( "-------
\n" ); document.write( "= log2(3x)/2 = log2(7x)/5
\n" ); document.write( "----
\n" ); document.write( "= log(3x) = (2/5)log(7x)
\n" ); document.write( "----
\n" ); document.write( "= log(3) + log(x) = (2/5)log(7) + (2/5)log(x)
\n" ); document.write( "----
\n" ); document.write( "= (3/5)log(x) = (2/5)log(7)- log(3)
\n" ); document.write( "----
\n" ); document.write( "log(x^(3/5)) = log[7^(2/5)/3]
\n" ); document.write( "----
\n" ); document.write( "x^(3/5) = 7^(2/5) / 3
\n" ); document.write( "-----
\n" ); document.write( "x^(3/5) = 0.7260
\n" ); document.write( "x = 0.7260^(5/3)
\n" ); document.write( "x = 0.5864
\n" ); document.write( "=================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=================
\n" ); document.write( "
\n" );