document.write( "Question 134646: This is a hard question for me to type properly, I hope someone understands.
\n" ); document.write( "Solve: [cubedroot (8^(x+1))/(16^x)]=32 I think I can also type it like this: (8^(x+1)/16^x)^(1/3) =32 . \n" ); document.write( "

Algebra.Com's Answer #98692 by vleith(2983) $\"\"$ $\"About$

You can put this solution on YOUR website!
Nice problem!!!
\n" ); document.write( "Given : $\"%28%288%5E%28x%2B1%29%2F16%5Ex%29%29%5E%281%2F3%29+=32\"$
\n" ); document.write( "Cube both sides
\n" ); document.write( " $\"%28%288%5E%28x%2B1%29%2F16%5Ex%29%29+=32%5E3\"$
\n" ); document.write( " $\"%288%5E%28x%2B1%29%29+=32%5E3+%2A+16%5Ex\"$
\n" ); document.write( " $\"+%288%5E%28x%2B1%29%29=+%2816%2A2%29%5E3+%2A+16%5Ex\"$
\n" ); document.write( " $\"+%288%5E%28x%2B1%29%29=+8+%2A+16%5E%28x%2B3%29\"$
\n" ); document.write( " $\"+8%5Ex+=+16%5E%28x%2B3%29\"$
\n" ); document.write( " $\"+%2816%2F2%29%5Ex+=+16%5E%28x%2B3%29\"$
\n" ); document.write( " $\"+2%5E%28-x%29+=+16%5E3+\"$
\n" ); document.write( " $\"+2%5E%28-x%29+=+%282%5E4%29%5E3+\"$
\n" ); document.write( "x = -12\r
\n" ); document.write( "\n" ); document.write( "verify by plugging -12 back into the original equation
\n" ); document.write( "Thanks for the problem., it was fun
\n" ); document.write( " \n" ); document.write( "

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