document.write( "Question 796118: Simple logarithm problem--
\n" ); document.write( "Could someone please help me? I've got a test tomorrow and my professor did not have time to explain. I'm stuck!\r
\n" ); document.write( "\n" ); document.write( "log3x^2=2+log9x\r
\n" ); document.write( "\n" ); document.write( "Thank you!
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Algebra.Com's Answer #481239 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
log3x^2=2+log9x
\n" ); document.write( "Assume it is:
\n" ); document.write( "log(3x^2) = 2 + log(9x)
\n" ); document.write( "Subtract log(9x) from both sides
\n" ); document.write( "log(3x^2) - log(9x) = 2
\n" ); document.write( "Subtracting logs is the same as divide so we can write this
\n" ); document.write( "\"log%28%28%283x%5E2%29%2F%289x%29%29%29\" = 2
\n" ); document.write( "note that the 3 cancels into the 9 and x into x^2, leaving us with
\n" ); document.write( "\"log%28%28x%2F3%29%29\" = 2
\n" ); document.write( "The anti log of both sides, (10^x) on the calc)
\n" ); document.write( "\"x%2F3\" = 100
\n" ); document.write( "x = 3*100
\n" ); document.write( "x = 300
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that checks out
\n" ); document.write( "Enter in your calc: log(3*300^2) = 5.431..
\n" ); document.write( "Enter: 2 + log(9*300) = 5.431.. equality reigns
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