document.write( "Question 443261: I cannot figure out how to get this problem started.
\n" ); document.write( "\"Solve for x: 16^(2x+3)=64^(x+2)\" \n" ); document.write( "

Algebra.Com's Answer #305758 by swincher4391(1107) $\"\"$ $\"About$

You can put this solution on YOUR website!
Recognize that 4^2 = 16 and 4^3 = 64. Then:\r
\n" ); document.write( "\n" ); document.write( " $\"4%5E2%5E%282x%2B3%29+=+4%5E3%5E%28x%2B2%29\"$
\n" ); document.write( "Use the product rule:
\n" ); document.write( " $\"4%5E%282%2A%282x%2B3%29%29+=+4%5E%283%28x%2B2%29%29\"$
\n" ); document.write( " $\"4%5E%284x%2B6%29+=+4%5E%283x%2B6%29\"$
\n" ); document.write( "Take the log(base4) of both sides:
\n" ); document.write( " $\"+4x%2B6+=+3x%2B6\"$
\n" ); document.write( " $\"highlight%28x+=+0%29\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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