document.write( "Question 1062603: find the value of x if: log5 + log(x+2) - log(x-1) = 2 \n" ); document.write( "
Algebra.Com's Answer #677560 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
\"log%28%285%29%29+%2B+log%28%28x%2B2%29%29+-+log%28%28x-1%29%29\"\"%22%22=%22%22\"\"2\"
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document.write( "Use the log property:   \"log%28%28A%29%29%2Blog%28%28B%29%29=log%28%28AB%29%29\"\r\n" );
document.write( "on the first two terms on the left side:\r\n" );
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document.write( "\"log%28%285%28x%2B2%29%5E%22%22%29%29+-+log%28%28x-1%29%29\"\"%22%22=%22%22\"\"2\"\r\n" );
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document.write( "Distribute \"5%2A%28x%2B2%29\"to get \"5x%2B10\"\r\n" );
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document.write( "\"log%28%285x%2B10%29%29+-+log%28%28x-1%29%29\"\"%22%22=%22%22\"\"2\"\r\n" );
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document.write( "Use the log property:   \"log%28%28A%29%29-log%28%28B%29%29=log%28%28A%2FB%29%29\"\r\n" );
document.write( "on the two terms on the left side:\r\n" );
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document.write( "\"log%28%28%285x%2B10%29%2F%28x-1%29%29%29\"\"%22%22=%22%22\"\"2\"\r\n" );
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document.write( "Use the log property:  If \"log%28%28A%29%29=B\" then \"A=10%5EB\"\r\n" );
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document.write( "\"%285x%2B10%29%2F%28x-1%29\"\"%22%22=%22%22\"\"10%5E2\"\r\n" );
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document.write( "\"%285x%2B10%29%2F%28x-1%29\"\"%22%22=%22%22\"\"100\"\r\n" );
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document.write( "Multiply both sides by x-1\r\n" );
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document.write( "\"5x%2B10\"\"%22%22=%22%22\"\"100%28x-1%29\"\r\n" );
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document.write( "Distribute on the right:\r\n" );
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document.write( "\"5x%2B10\"\"%22%22=%22%22\"\"100x-100\"\r\n" );
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document.write( "Subtract 100x from both sides:\r\n" );
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document.write( "\"-95x%2B10\"\"%22%22=%22%22\"\"-100\"\r\n" );
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document.write( "Subtract 10 from both sides\r\n" );
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document.write( "\"-95x\"\"%22%22=%22%22\"\"-110\"\r\n" );
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document.write( "Divide both sides by -95\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"%28-110%29%2F%28-95%29\"\r\n" );
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document.write( "Reduce fraction and a negative divided \r\n" );
document.write( "by a negative is positive:\r\n" );
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document.write( "\"x\"\"%22%22=%22%22\"\"22%2F19\"\r\n" );
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document.write( "Edwin
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