document.write( "Question 395535: I need help solving for x..\r
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document.write( "16^(3logsub2base4)=(1/2)^(logsub5basex)\r
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document.write( "and also in..\r
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document.write( "20^(3x-4)=4^x\r
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document.write( "thank you! \n" );
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Algebra.Com's Answer #280699 by stanbon(75887) ![]() 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 \n" ); document.write( "----- \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( "============== \n" ); document.write( " \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( " \n" ); document.write( " |