document.write( "Question 544991: I have a big problem with this equation.\r
\n" ); document.write( "\n" ); document.write( "5^(x-2) = 3^(2x) \r
\n" ); document.write( "\n" ); document.write( "That is,
\n" ); document.write( "\"5%5E%28x-2%29+=+3%5E%282x%29\"
\n" ); document.write( "I know the answer but I don't know what's the method to have it.\r
\n" ); document.write( "\n" ); document.write( "The answer is: log 25 / log 5/9\r
\n" ); document.write( "\n" ); document.write( "Help me please\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "

Algebra.Com's Answer #355377 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
5^(x-2) = 3^(2x)
\n" ); document.write( "---------------
\n" ); document.write( "(x-2)log(5) = (2x)log(3)
\n" ); document.write( "---
\n" ); document.write( "xlog(5) - log(25) = x(log(9))
\n" ); document.write( "----
\n" ); document.write( "x[log(5)-log(9)] = log(25)
\n" ); document.write( "---
\n" ); document.write( "x = log(25)/(log(5/9))
\n" ); document.write( "------
\n" ); document.write( "x = -5.4763
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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