document.write( "Question 591513: log base 4 of 3x = log base 32 of 7x\r
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document.write( "whats x??? \n" );
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Algebra.Com's Answer #375651 by stanbon(75887) ![]() 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( " |