SOLUTION: Please help me solve for x! {{{ a^(x-5) = b^(3x+9) }}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help me solve for x! {{{ a^(x-5) = b^(3x+9) }}}      Log On


   

Question 836464: Please help me solve for x! +a%5E%28x-5%29+=+b%5E%283x%2B9%29+
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+a%5E%28x-5%29+=+b%5E%283x%2B9%29+
%28x-5%29%2Alog%28a%29+=+%283x%2B9%29%2Alog%28b%29+
x*log(a) - 5log(a) = 3x*log(b) + 9log(b)
x*log(a) - 3x*log(b) = 5log(a) + 9log(b)
x*(log(a) - 3log(b)) = 5log(a) + 9log(b)
x+=+%285log%28a%29+%2B+9log%28b%29%29%2F%28log%28a%29+-+3log%28b%29%29