document.write( "Question 1058224: Log3(x+18)-log3(x-2)=4 \n" ); document.write( "

Algebra.Com's Answer #673269 by LinnW(1048) $\"\"$ $\"About$

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Log3(x+18)-log3(x-2)=4
\n" ); document.write( "Log3((x+18)/(x-2))=4
\n" ); document.write( "Since 4 = log3(3^4) = log3(81)
\n" ); document.write( "Log3((x+18)/(x-2))=log3(81)
\n" ); document.write( " $\"%28x%2B18%29%2F%28x-2%29=81\"$
\n" ); document.write( " $\"%28x%2B18%29%2F%28x-2%29=81%2F1\"$
\n" ); document.write( "using cross products
\n" ); document.write( "x+18 = 81(x-2)
\n" ); document.write( "x+18 = 81x -162
\n" ); document.write( "add -x to each side
\n" ); document.write( "18 = 80x -162
\n" ); document.write( "add 162 to each side
\n" ); document.write( "180 = 80x
\n" ); document.write( "divide each side by 80
\n" ); document.write( "180/80 = x
\n" ); document.write( "18/8 = x
\n" ); document.write( "9/4 = x
\n" ); document.write( " \n" ); document.write( "

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