document.write( "Question 395535: I need help solving for x..\r
\n" ); document.write( "\n" ); document.write( "16^(3logsub2base4)=(1/2)^(logsub5basex)\r
\n" ); document.write( "\n" ); document.write( "and also in..\r
\n" ); document.write( "\n" ); document.write( "20^(3x-4)=4^x\r
\n" ); document.write( "\n" ); document.write( "thank you!
\n" ); document.write( "

Algebra.Com's Answer #280699 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I need help solving for x..
\n" ); document.write( "16^(3logsub2base4)=(1/2)^(logsub5basex)
\n" ); document.write( "-----
\n" ); document.write( "(2^4)^(3log2(4)) = (2^-1)^(log5(x))
\n" ); document.write( "-----
\n" ); document.write( "= 2^(12log2(4)) = 2^(-log5(x))
\n" ); document.write( "----
\n" ); document.write( "===
\n" ); document.write( "12log2(4) = -log5(x)
\n" ); document.write( "===
\n" ); document.write( "12*2 = -log5(x)
\n" ); document.write( "-----
\n" ); document.write( "log5(x^-1)= 24
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\n" ); document.write( "x^-1 = 5^24
\n" ); document.write( "---
\n" ); document.write( "x = 1/(5^24)
\n" ); document.write( "---
\n" ); document.write( "x = 1.678x10^-17
\n" ); document.write( "=====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "==============
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\n" ); document.write( "20^(3x-4)=4^x
\n" ); document.write( "---
\n" ); document.write( "(3x-4)log(20) = xlog(4)
\n" ); document.write( "------
\n" ); document.write( "[(3x-4)/x] = log(4)/log(20)
\n" ); document.write( "---
\n" ); document.write( "(3x-4)/x] = 0.4628
\n" ); document.write( "---
\n" ); document.write( "3x-4 = 0.4628x
\n" ); document.write( "---
\n" ); document.write( "2.5372x = 4
\n" ); document.write( "x = 1.5765..
\n" ); document.write( "============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "=========
\n" ); document.write( "
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