document.write( "Question 420792: 8^(x+5)=4^(x)\r
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Algebra.Com's Answer #293934 by richard1234(7193) $\"\"$ $\"About$

You can put this solution on YOUR website!
We can write $\"8%5E%28x%2B5%29\"$ as $\"%282%5E3%29%5E%28x%2B5%29\"$ --> $\"2%5E%283x%2B15%29\"$ . Also, $\"4%5Ex+=+%282%5E2%29%5Ex+=+2%5E%282x%29\"$ . Hence,\r
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\n" ); document.write( "\n" ); document.write( " $\"2%5E%283x%2B15%29+=+2%5E%282x%29\"$ The exponents must be equal (we can take the logarithm of both sides)\r
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\n" ); document.write( "\n" ); document.write( " $\"3x%2B15+=+2x\"$ --> $\"x+=+-15\"$ . \n" ); document.write( "

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