document.write( "Question 779425: Use properties of logs to simplify the expression log[a](32)+(4/5)log[a](16)-(4/5)log[a](8)+log[a](1/(2^(9/5)) as much as possible\r
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Algebra.Com's Answer #475227 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"log%28a%2C%2832%29%29\"\"%22%22%2B%22%22\"\"expr%284%2F5%29log%28a%2C%2816%29%29\"\"%22%22-%22%22\"\"expr%284%2F5%29log%28a%2C%288%29%29\"\"%22%22%2B%22%22\"\"log%28a%2C%281%2F%282%5E%229%2F5%22%29%29%29\"\r\n" );
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document.write( "Write the last term with a negative exponent\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2Clog%28a%2C%2832%29%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22%2B%22%22%29\"\"matrix%282%2C1%2C%22%22%2Cexpr%284%2F5%29log%28a%2C%2816%29%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22-%22%22%29\"\"matrix%282%2C1%2C%22%22%2Cexpr%284%2F5%29log%28a%2C%288%29%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22%2B%22%22%29\"\"matrix%282%2C1%2C%22%22%2Clog%28a%2C%282%5E%28-9%2F5%29%29%29%29%29\"\r\n" );
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document.write( "Write 32 as 25, 16 as 24, and 8 as 23\r\n" );
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document.write( "\"matrix%282%2C1%2C%22%22%2Clog%28a%2C%282%5E5%29%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22%2B%22%22%29\"\"matrix%282%2C1%2C%22%22%2Cexpr%284%2F5%29log%28a%2C%282%5E4%29%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22-%22%22%29\"\"matrix%282%2C1%2C%22%22%2Cexpr%284%2F5%29log%28a%2C%282%5E3%29%29%29\"\"matrix%282%2C1%2C%22%22%2C%22%22%2B%22%22%29\"\"matrix%282%2C1%2C%22%22%2Clog%28a%2C%282%5E%28-9%2F5%29%29%29%29%29\"\r\n" );
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document.write( "Move the xponents out front as multipliers:\r\n" );
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document.write( "\"5%2Alog%28a%2C%282%29%29\"\"%22%22%2B%22%22\"\"4%2Aexpr%284%2F5%29%2Alog%28a%2C%282%29%29\"\"%22%22-%22%22\"\"3%2Aexpr%284%2F5%29%2Alog%28a%2C%282%29%29\"\"%22%22%2B%22%22\"\"%28expr%28-9%2F5%29%29%2Alog%28a%2C%282%29%29\"\r\n" );
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document.write( "Simplify:\r\n" );
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document.write( "\"5%2Alog%28a%2C%282%29%29\"\"%22%22%2B%22%22\"\"expr%2816%2F5%29%2Alog%28a%2C%282%29%29\"\"%22%22-%22%22\"\"expr%2812%2F5%29%2Alog%28a%2C%282%29%29\"\"%22%22-%22%22\"\"expr%289%2F5%29%2Alog%28a%2C%282%29%29\"\r\n" );
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document.write( "Factor out loga(2)\r\n" );
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document.write( "(5+\"16%2F5\"-\"12%2F5\"-\"9%2F5\")loga(2)\r\n" );
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document.write( "Write 5 as \"25%2F5\"\r\n" );
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document.write( "(\"25%2F5\"+\"16%2F5\"-\"12%2F5\"-\"9%2F5\")loga(2)\r\n" );
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document.write( "\"20%2F5\"·loga(2)\r\n" );
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document.write( "4·loga(2)\r\n" );
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document.write( "Edwin
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