document.write( "Question 873868: Hello I guess the questions I need help with is: $\"3%5E%28x%2B2%29=5%5E%28x-1%29\"$ What I have tried to do is take the log of both sides which gave me(x+2)*log3=(x-1)*log5, I then tried to get the logs on one side and the other terms on one side and was left with (x+2)/(x-1)=log5/log3 and I don't think I am doing this correctly. Any help provided is greatly appreciated. \n" ); document.write( "

Algebra.Com's Answer #527141 by Alan3354(69443) $\"\"$ $\"About$

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Hello I guess the questions I need help with is: $\"3%5E%28x%2B2%29=5%5E%28x-1%29\"$ What I have tried to do is take the log of both sides which gave me
\n" ); document.write( "(x+2)*log3=(x-1)*log5
\n" ); document.write( "Expand it
\n" ); document.write( "x*log(3) + 2log(3) = x*log(5) - log(5)
\n" ); document.write( "Collect x terms
\n" ); document.write( "x*log(3) - x*log(5) = - log(5) - log(9)
\n" ); document.write( "x*(log(5) - log(3)) = log(5) + log(9) = log(45)
\n" ); document.write( "x = log(45)/log(5/3) \n" ); document.write( "

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