document.write( "Question 1117690: So I have to solve this equation by using logarithms. I am so lost. \r
\n" ); document.write( "\n" ); document.write( "2.5^x=34.1^(2x+7)
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Algebra.Com's Answer #732816 by MathTherapy(10560)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "So I have to solve this equation by using logarithms. I am so lost. \r
\n" ); document.write( "\n" ); document.write( "2.5^x=34.1^(2x+7)
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TOTALLY IGNORE the suggestion by that person to CONVERT the decimals to fractions. That doesn't make ANY SENSE, at all!!
\n" ); document.write( "\"matrix%281%2C3%2C+2.5%5Ex%2C+%22=%22%2C+34.1%5E%282x+%2B+7%29%29\"
\n" ); document.write( " ------ Taking log of both sides
\n" ); document.write( "x log (2.5) = (2x + 7) * log (34.1)
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\n" ); document.write( "\"matrix%281%2C3%2C+x%2F%282x+%2B+7%29%2C+%22=%22%2C+3.8517%29\"
\n" ); document.write( "3.8517(2x + 7) = x ------- Cross-multiplying
\n" ); document.write( "7.7034x + 26.9619 = x
\n" ); document.write( "26.9619 = x - 7.7034x
\n" ); document.write( "26.9619 = - 6.7034x
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