document.write( "Question 58262This question is from textbook
\n" ); document.write( ": find the exact solution to the equation 3^x+5=9^x \n" ); document.write( "

Algebra.Com's Answer #39879 by funmath(2933) $\"\"$ $\"About$

You can put this solution on YOUR website!
I think you meant x+5 to be all in the exponent.
\n" ); document.write( " $\"3%5E%28x%2B5%29=9%5Ex\"$
\n" ); document.write( " $\"3%5E%28x%2B5%29=%283%5E2%29%5Ex\"$
\n" ); document.write( " $\"3%5E%28x%2B5%29=3%5E%282x%29\"$ Once the bases are the same, you can equate their exponents.
\n" ); document.write( "x+5=2x
\n" ); document.write( "-x+x+5=2x-x
\n" ); document.write( "5=x
\n" ); document.write( ":
\n" ); document.write( "Check:
\n" ); document.write( " $\"3%5E%285%2B5%29=9%5E5\"$
\n" ); document.write( " $\"3%5E%2810%29=9%5E5\"$
\n" ); document.write( " $\"59049=59049\"$ We're right.
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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