document.write( "Question 1042897: Solve for x if 2log(x-1)+3log2=log(x+2)
\n" ); document.write( "Solution is 1.678 \n" ); document.write( "

Algebra.Com's Answer #657946 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%28%28x-1%29%5E2%29-log%28%28x%2B2%29%29=-log%28%288%29%29\"$
\n" ); document.write( " $\"log%28%28x-1%29%5E2%2F%28x%2B2%29%29=log%28%281%2F8%29%29\"$
\n" ); document.write( " $\"%28x-1%29%5E2%2F%28x%2B2%29=1%2F8\"$
\n" ); document.write( " $\"8%28x-1%29%5E2=x%2B2\"$
\n" ); document.write( " $\"8x%5E2-17x%2B6=0\"$
\n" ); document.write( "Complete the square,
\n" ); document.write( " $\"8%28x%5E2-%2817%2F8%29x%29%2B6=0\"$
\n" ); document.write( " $\"8%28x%5E2-%2817%2F8%29x%2B%2817%2F16%29%5E2%29%2B6=8%2817%2F16%29%5E2\"$
\n" ); document.write( " $\"8%28x-17%2F16%29%5E2=8%2817%2F16%29%5E2-6\"$
\n" ); document.write( " $\"8%28x-17%2F16%29%5E2=8%28289%2F256%29%5E2-6%28256%2F256%29\"$
\n" ); document.write( " $\"8%28x-17%2F16%29%5E2=776%2F256%29\"$
\n" ); document.write( " $\"%28x-17%2F16%29%5E2=97%2F256%29\"$
\n" ); document.write( " $\"x-17%2F16=0+%2B-+sqrt%2897%29%2F16\"$
\n" ); document.write( " $\"x=17%2F16+%2B-+sqrt%2897%29%2F16\"$
\n" ); document.write( " $\"x=%2817+%2B-+sqrt%2897%29%29%2F16\"$
\n" ); document.write( "However the negative value would lead to a negative argument in the log function so only the positive solution works.
\n" ); document.write( " $\"x=%2817%2Bsqrt%2897%29%29%2F16\"$
\n" ); document.write( " \n" ); document.write( "

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