document.write( "Question 20541: What is the value of U in the equation; log\"9\"(3u+14) - log\"9\"5 = log\"9\"2u? I tried to work it myself and got an answer of -9, but I don't think it's right because there was a similar problem in my book but they didn't show you how to do it. Can you please walk me through it? \n" ); document.write( "
Algebra.Com's Answer #9894 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!

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document.write( "log9(3u+14) - log95 = log9(2u)
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document.write( "Add log95 to both sides
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document.write( "log9(3u+14) = log9(2u) + log95 
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document.write( "On the right use the rule of logarithms:
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document.write( "logBX + logBY = logB(XY)
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document.write( "logB(3u+14) = logB[(2u)×5]
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document.write( "logB(3u+14) = logB(10u)
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document.write( "Now we raise both sides to the 9 power, which amounts to
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document.write( "dropping the log9 on each side:
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document.write( "3u+14 = 10u
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document.write( "Solve that for u and get u=2.
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document.write( "Edwin
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document.write( "AnlytcPhil@aol.com\r
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