document.write( "Question 254778: solve for x\r
\n" ); document.write( "\n" ); document.write( "2 to the power of x + 5 = 3 to the power of x\r
\n" ); document.write( "\n" ); document.write( "I know the answer is x=2....but I cant prove it.
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Algebra.Com's Answer #187160 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
The answer can't be 2.
\n" ); document.write( "\"2%5E%282%2B5%29=128\"
\n" ); document.write( "\"3%5E%282%29=9\"
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\n" ); document.write( "Take the log (base 2) of both sides.
\n" ); document.write( "Convert the right hand side to base 2.
\n" ); document.write( "\"log%282%2C3%5E%28x%29%29=log%283%2C3%5E%28x%29%29%2Flog%283%2C2%29\"
\n" ); document.write( "The equation then becomes,
\n" ); document.write( "\"x%2B5=x%2F%28log%283%2C2%29%29\"
\n" ); document.write( "\"x%2A%281-1%2Flog%283%2C2%29%29=5\"
\n" ); document.write( "\"x=5%2F%281-1%2Flog%283%2C2%29%29\"
\n" ); document.write( "Approximately, the answer is
\n" ); document.write( "\"x=8.55\"
\n" ); document.write( "\"2%5E%288.55%2B5%29=11993\"
\n" ); document.write( "\"3%5E%288.55%29=12005\"
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