document.write( "Question 409919: Solve for x. \r
\n" ); document.write( "\n" ); document.write( "log3(x+7)=2-log3(x-1) \r
\n" ); document.write( "\n" ); document.write( "Write the exact answer using base-10 logarithms. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "log3(x+7)=2-log3(x-1)
\n" ); document.write( "log3(x+7) + log3(x-1) = 2
\n" ); document.write( "log3 [(x+7)/(x-1)] = 2
\n" ); document.write( "(x+7)(x-1) = 3^2
\n" ); document.write( "x^2 + 6x - 7 = 9
\n" ); document.write( "x^2 + 6x - 16 = 0
\n" ); document.write( "(x+8)(x-2) = 0
\n" ); document.write( "x = -8 or x = 2 \r
\n" ); document.write( "\n" ); document.write( "but x=-8 would make log3(x+7) undefined, so \r
\n" ); document.write( "\n" ); document.write( "x = 2 \r
\n" ); document.write( "\n" ); document.write( "( why would it ask to use base 10 logs ????) \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #288400 by jsmallt9(3758)\"\" \"About 
You can put this solution on YOUR website!
You've done the problem perfectly. I can only guess that the instruction regarding base 10 logarithms applies to a set of problems, some of which may require logarithms to solve. \n" ); document.write( "
\n" );