document.write( "Question 732312: I am trying to solve a logarithmic equation and have gotten an answer but its not the right one.. the right is 6 but im not sure how to get it. Please help. this is what I have so far.
\n" ); document.write( "log base 4 (x+2) + log base 4 (x-4) = 2
\n" ); document.write( "(x+2)+(x-4)=16
\n" ); document.write( "2x-2=16
\n" ); document.write( "2x=18
\n" ); document.write( "x=9
\n" ); document.write( "its not the right one so please help.. Thanks! \n" ); document.write( "

Algebra.Com's Answer #447753 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
log base 4 (x+2) + log base 4 (x-4) = 2
\n" ); document.write( "(x+2)+(x-4)=16 ********************
\n" ); document.write( "-----------------
\n" ); document.write( "Adding logs --> multiplication
\n" ); document.write( "(x+2)*(x-4)=16
\n" ); document.write( " $\"x%5E2+-+2x+-+8+=+16\"$
\n" ); document.write( " $\"x%5E2+-+2x+-+24+=+0\"$
\n" ); document.write( "(x-6)*(x+4) = 0
\n" ); document.write( "x = -4, x = 6
\n" ); document.write( "----------------
\n" ); document.write( "x = -4 doesn't work, give the log of a negative number.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );