Question 749522
From where you are, raise 3 to both sides (because it's base 3) to get rid of the log:

{{{log((2x+5)/(x-8)) = 1}}}



{{{3^(log((2x+5)/(x-8))) = 3^1}}}  The top is getting cut off, sorry.


{{{(2x+5)/(x-8)=3}}}

Now use cross products to solve:

{{{(2x+5)/(x-8)=3/1}}}

{{{1(2x+5)=3(x-8)}}}

Distribute:

{{{2x+5=3x-24}}}

Subtract 2x from both sides:

{{{5=x-24}}}

Add 24 to both sides:

{{{29=x}}}