document.write( "Question 210168This question is from textbook calculus with applications
\n" ); document.write( ": Trying to solve:\r
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\n" ); document.write( "\n" ); document.write( "8^x^2 = 2^x+4\r
\n" ); document.write( "\n" ); document.write( "(8 raised to the x power which is squared equals 2 raised to the x+4 power \n" ); document.write( "

Algebra.Com's Answer #158820 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve:
\n" ); document.write( " $\"8%5Ex%5E2+=+2%5E%28%28x%2B4%29%29\"$ Substitute $\"8+=+2%5E3\"$
\n" ); document.write( " $\"%282%5E3%29%5Ex%5E2+=+2%5E%28%28x%2B4%29%29\"$ Simplify the left side.
\n" ); document.write( " $\"2%5E%283x%5E2%29+=+2%5E%28%28x%2B4%29%29\"$ Now since the bases are equal (2) the exponents are equal,so...
\n" ); document.write( " $\"3x%5E2+=+x%2B4\"$ Subtract (x+4) from both sides.
\n" ); document.write( " $\"3x%5E3-x-4+=+0\"$ Factor this trinomial.
\n" ); document.write( " $\"%283x-4%29%28x%2B1%29+=+0\"$ Apply the zero product rule.
\n" ); document.write( " $\"3x-4+=+0\"$ or $\"x%2B1+=+0\"$ which means that...
\n" ); document.write( " $\"3x+=+4\"$ and $\"highlight%28x+=+4%2F3%29\"$ or $\"highlight%28x+=+-1%29\"$ \r
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