document.write( "Question 454532: is 6.5 a solution of log base 3 of (x + 3) + log base 3 of (x-2) = log base 3 of 14 and please show your work? \n" ); document.write( "

Algebra.Com's Answer #312092 by Gogonati(855) $\"\"$ $\"About$

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$\"log%283%2C+%28x%2B3%29%29%2Blog%283%2C+%28x-2%29%29=log%283%2C+14%29\"$ , using log properties we get:\r
\n" ); document.write( "\n" ); document.write( " $\"log%283%2C+%28x%2B3%29%28x-2%29%29=log%283%2C+14%29\"$ => $\"%28x%2B3%29%28x-2%29=14\"$ , we solve now the \r
\n" ); document.write( "\n" ); document.write( "quadratic equation: $\"x%5E2%2Bx-20=0\"$ , by factoring $\"%28x%2B5%29%28x-4%29=0\"$ and get:\r
\n" ); document.write( "\n" ); document.write( "x=-5 and x=4. We reject the root x=-5, because the log of negative numbers are \r
\n" ); document.write( "\n" ); document.write( "undefined.\r
\n" ); document.write( "\n" ); document.write( "Answer: The solution is x=4. \n" ); document.write( "

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