document.write( "Question 744302: log base 4 (8x-9)-log base 4 (x+1)=1 \n" ); document.write( "

Algebra.Com's Answer #453272 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"log%284%2C%288x-9%29%29-+log%284%2C%28x%2B1%29%29\"$ = 1
\n" ); document.write( "we write this over a single log, subtraction means divide:
\n" ); document.write( " $\"log%284%2C%28%288x-9%29%2F%28x%2B1%29%29%29\"$ = 1
\n" ); document.write( "The exponent equiv
\n" ); document.write( " $\"%28%288x-9%29%2F%28x%2B1%29%29\"$ = $\"4%5E1\"$
\n" ); document.write( "or just
\n" ); document.write( " $\"%28%288x-9%29%2F%28x%2B1%29%29\"$ = 4
\n" ); document.write( "multiply both sides by (x+1)
\n" ); document.write( "8x - 9 = 4(x + 1)
\n" ); document.write( "8x - 9 = 4x + 4
\n" ); document.write( "8x - 4x = 4 + 9
\n" ); document.write( "4x = 13
\n" ); document.write( "x = 13/4
\n" ); document.write( "x = 3.25 \n" ); document.write( "

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