document.write( "Question 752775: I think I have to solve it using the log functions not sure
\n" ); document.write( "the problem reads...
\n" ); document.write( "solve equation 9^(x+3)=3^(4x-2)
\n" ); document.write( "if not I got x=4
\n" ); document.write( "but that just by using guessing.
\n" ); document.write( "I need to know how I get there using logs or if I do have to use them. \n" ); document.write( "

Algebra.Com's Answer #458021 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
solve equation 9^(x+3)=3^(4x-2)
\n" ); document.write( "We know that 9 = 3^2, therefore we can write the equation as
\n" ); document.write( " $\"3%5E%282%28x%2B3%29%29\"$ = $\"3%5E%28%284x-2%29%29\"$
\n" ); document.write( "When the numbers are equal, the exponents are equal, so we have:
\n" ); document.write( "2(x+3) = 4x -2
\n" ); document.write( "2x + 6 = 4x - 2
\n" ); document.write( "6 + 2 = 4x - 2x
\n" ); document.write( "8 = 2x
\n" ); document.write( "x = 8/2
\n" ); document.write( "x = 4 \n" ); document.write( "

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