document.write( "Question 191230: log5(x-1)=4+log5(x-2) \n" ); document.write( "

Algebra.Com's Answer #143523 by nerdybill(7384) $\"\"$ $\"About$

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log5(x-1)=4+log5(x-2)
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\n" ); document.write( "Begin by moving all the log5 terms to the left:
\n" ); document.write( "log5(x-1) - log5(x-2) = 4
\n" ); document.write( "log5[(x-1)/(x-2)] =4
\n" ); document.write( "(x-1)/(x-2) = 5^4
\n" ); document.write( "(x-1)/(x-2) = 625
\n" ); document.write( "(x-1) = 625(x-2)
\n" ); document.write( "x-1 = 625x - 1250
\n" ); document.write( "-624x-1 = -1250
\n" ); document.write( "-624x = -1249
\n" ); document.write( "x = 2.002
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