document.write( "Question 975484: 4^(x+1)= (1/8)^(x+6) \n" ); document.write( "
Algebra.Com's Answer #597263 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"4%5E%28x%2B1%29=+%281%2F8%29%5E%28x%2B6%29\"\r\n" );
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document.write( "Replace 4 by 2² and 8 by 2³ \r\n" );
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document.write( "\"%282%5E2%29%5E%28x%2B1%29=+%281%2F2%5E3%29%5E%28x%2B6%29\"\r\n" );
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document.write( "Remove parentheses by distributing (multiplying) exponents:\r\n" );
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document.write( "\"2%5E%282x%2B2%29+=+1%5E%28x%2B6%29%2F2%5E%283x%2B18%29\"\r\n" );
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document.write( "\"2%5E%282x%2B2%29+=+1%2F2%5E%283x%2B18%29\"\r\n" );
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document.write( "Multiply both sides by \"2%5E%283x%2B18%29\"\r\n" );
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document.write( "\"2%5E%282x%2B2%29%2A2%5E%283x%2B18%29+=+1\"\r\n" );
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document.write( "Add exponents of 2\r\n" );
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document.write( "\"2%5E%285x%2B20%29=1\"\r\n" );
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document.write( "Since we know that \"2%5E0=1\",\r\n" );
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document.write( "5x+20 = 0\r\n" );
document.write( "   5x = -20\r\n" );
document.write( "    x = -4\r\n" );
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document.write( "Edwin

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