document.write( "Question 98595: log (x+7) - log (x-2) = 1 \n" ); document.write( "

Algebra.Com's Answer #71748 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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log (x+7) - log (x-2) = 1
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\n" ); document.write( "Same as:
\n" ); document.write( "log $\"%28%28%28x%2B7%29%29%2F%28%28x-2%29%29%29%29\"$ = 1
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\n" ); document.write( "Find the anti-log of both sides
\n" ); document.write( " $\"%28%28x%2B7%29%29%2F%28%28x-2%29%29%29\"$ = 10
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\n" ); document.write( "x + 7 = 10(x - 2)
\n" ); document.write( "x + 7 = 10x - 20
\n" ); document.write( "7 + 20 = 10x - x
\n" ); document.write( "9x = 27
\n" ); document.write( "x = 27/9
\n" ); document.write( "x = 3
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\n" ); document.write( "Check solution, substitute 3 for x in original equation you have:
\n" ); document.write( " log(10) - log(1)
\n" ); document.write( " 1 - 0 = 1
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\n" ); document.write( "Did this help: \n" ); document.write( "

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