document.write( "Question 867254: Solve
\n" ); document.write( "a)log(base 2)(x+1) + log(base 2)(x-1) = 3
\n" ); document.write( "b)log(base 2)(x+2) = 2 - log(base 2)(x-1)\r
\n" ); document.write( "\n" ); document.write( "Can you please help me out? Thanks so much in advance:)\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #522936 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve
\n" ); document.write( "a) $\"log%282%2C%28x%2B1%29%29+%2B+log%282%2C%28x-1%29%29+=+3\"$
\n" ); document.write( "addition of logs, is multiply
\n" ); document.write( " $\"log%282%2C%28%28x%2B1%29%28x-1%29%29%29+=+3\"$
\n" ); document.write( "FOIL
\n" ); document.write( " $\"log%282%2C%28x%5E2-1%29%29+=+3\"$
\n" ); document.write( "Write exponent equiv of logs
\n" ); document.write( "x^2 -1 = $\"2%5E3%29\"$
\n" ); document.write( "x^2 - 1 = 8
\n" ); document.write( "x^2 - 1 - 8 = 0
\n" ); document.write( "x^2 - 9 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-3)(x+3) = 0
\n" ); document.write( "x = +3, is the only solution (no negative allowed in a log)
\n" ); document.write( ":
\n" ); document.write( "b) $\"log%282%2C%28x%2B2%29%29+=+2+-+log%282%2C%28x-1%29%29\"$
\n" ); document.write( " $\"log%282%2C%28x%2B2%29%29+%2B+log%282%2C%28x-1%29%29=+2\"$
\n" ); document.write( " $\"log%282%2C%28%28x%2B2%29%28x-1%29%29%29+=+2\"$
\n" ); document.write( " $\"log%282%2C%28x%5E2%2Bx-2%29%29+=+2\"$
\n" ); document.write( "The exponent equiv
\n" ); document.write( "x^2 + x - 2 = $\"2%5E2\"$
\n" ); document.write( "x^2 + x - 2 = 4
\n" ); document.write( "x^2 + x - 2 - 4 = 0
\n" ); document.write( "x^2 + x - 6 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x+3)(x-2) = 0
\n" ); document.write( "x = 2, the positive solution all we want here \n" ); document.write( "

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