document.write( "Question 260536: ok last question! log(4,2x+5)-log (4,x-2) =1 \n" ); document.write( "

Algebra.Com's Answer #191910 by drk(1908) $\"\"$ $\"About$

You can put this solution on YOUR website!
here is the problem
\n" ); document.write( " $\"log%284%2C2x%2B5%29-log+%284%2Cx-2%29+=1\"$
\n" ); document.write( "step 1 - use rules of logs on the left to get
\n" ); document.write( " $\"log%284%2C%28%282x%2B5%29%2F%28x-2%29%29%29+=1\"$
\n" ); document.write( "step 2 - rewrite as exponents like this
\n" ); document.write( " $\"4%5E1+=+%282x%2B5%29%2F%28x-2%29\"$
\n" ); document.write( "step 3 - cross multiply to get
\n" ); document.write( " $\"4x-8+=+2x%2B5\"$
\n" ); document.write( "step 4 - solve for x to get
\n" ); document.write( " $\"2x+=+13\"$
\n" ); document.write( "x = 13/2 \n" ); document.write( "

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