document.write( "Question 966659: log(x^2+7x)=log18
\n" ); document.write( " I think I'm supposed to get the log on one side, so would it look like this? log18(x^2+7x)
\n" ); document.write( "Do I then write it out like this? log18 x^2 +log18 7x
\n" ); document.write( "

Algebra.Com's Answer #590791 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
log(x^2 + 7x) = log(18) can only be true if x^2 + 7x = 18\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so, start with x^2 + 7x = 18.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "subtract 18 from both sides of the equation to get x^2 + 7x - 18 = 0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "factor this quadratic equation to get (x + 9) * (x - 2) = 0\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solve for x to get x = -9 or x = 2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "go back to your original equation to see if these values are good.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "they have to be good in the original equation, or they are not good.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "your original equation is log(x^2 + 7x) = log(18)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "when x = -9, you get log(x^2 + 7x) = log(18) becomes log(81 - 63) = log(18) which becomes log(18) = log(18) which is true, so x = -9 is good.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "when x = 2, you get log(x^2 + 7x) = log(18) becomes log(4 + 14) = log(18) which becomes log(18) = log(18) which is true, so x = 2 is also good.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "your solution is that x = -9 or x = 2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );