document.write( "Question 1005505: Solve the logarithmic equation showing step by step. log2(x^2-11)-log2(2x+5)=1 \n" ); document.write( "
Algebra.Com's Answer #621739 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "\"log%282%2C%28x%5E2-11%29%29-log%282%2C%282x%2B5%29%29=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%282%2C%28x%5E2-11%29%2F%282x%2B5%29%29=1\"......change the base to base \"10\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%28%28x%5E2-11%29%2F%282x%2B5%29%29%2Flog%28%282%29%29=1\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%28%28x%5E2-11%29%2F%282x%2B5%29%29=1%2Alog%28%282%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%28%28x%5E2-11%29%2F%282x%2B5%29%29=log%28%282%29%29\".........if log same, then\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2-11%29%2F%282x%2B5%29=2\"....solve for \"x\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-11=2%282x%2B5%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-11=4x%2B10\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-11-4x-10=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-4x-21=0\"......factor completely\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-7x%2B3x-21=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x%5E2-7x%29%2B%283x-21%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%28x-7%29%2B3%28x-7%29=0\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28x-7%29%28x%2B3%29+=+0\"\r
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\n" ); document.write( "\n" ); document.write( "solutions:\r
\n" ); document.write( "\n" ); document.write( "\"x=7\"\r
\n" ); document.write( "\n" ); document.write( "\"x=-3\"=> this is a solution only if assuming a complex-valued logarithm \r
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