document.write( "Question 50016: Help????\r
\n" ); document.write( "\n" ); document.write( "Find the exact solution to the equation 3^(x+5)=9^x.
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Algebra.Com's Answer #33247 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
Solve:
\n" ); document.write( "\"3%5E%28%28x%2B5%29%29+=+9%5Ex\" Take the logarithm of both sides.
\n" ); document.write( "\"Log%283%5E%28x%2B5%29%29+=+Log%289%5Ex%29\"Apply the Power Rule for logarithms: \"Log%28M%5Ep%29+=+pLog%28M%29\"
\n" ); document.write( "\"%28x%2B5%29Log%283%29+=+xLog%289%29\" Divide both sides by \"Log%283%29\"
\n" ); document.write( "\"%28x%2B5%29+=+x%28Log%289%29%2FLog%283%29%29\" Evaluate the logarithms. \"Log%289%29%2FLog%283%29+=+2\"
\n" ); document.write( "\"%28x%2B5%29+=+2x\" Subtract x from both sides.
\n" ); document.write( "\"5+=+x\" or \"x+=+5\"\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "\"3%5E%285%2B5%29+=+9%5E5\"
\n" ); document.write( "\"3%5E10+=+9%5E5\"
\n" ); document.write( "\"59049+=+59049\"
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