document.write( "Question 323018: 3^(x+3)+3^x=84 (hint 3^x+3=3^x3^3) please help... Solve the equation \n" ); document.write( "

Algebra.Com's Answer #231225 by jessica43(140) $\"\"$ $\"About$

You can put this solution on YOUR website!
The first step is to use the hint you were given (hint 3^(x+3)=(3^x)*(3^3)) to rewrite the problem:
\n" ); document.write( "(3^(x+3))+(3^x) = 84
\n" ); document.write( "((3^x)*(3^3))+(3^x) = 84
\n" ); document.write( "Now you can factor out the (3^x) and solve:
\n" ); document.write( "((3^x)*(3^3))+(3^x) = 84
\n" ); document.write( "(3^x)*((3^3)+1) = 84
\n" ); document.write( "(3^x)*(27+1) = 84
\n" ); document.write( "(3^x)*28 = 84
\n" ); document.write( "(3^x)= 3
\n" ); document.write( "x= 1
\n" ); document.write( "So your answer is x=1. \n" ); document.write( "

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