SOLUTION: I am having difficulty with this logarithmic equation. I have completed many problems like it, but this one eludes me. 4^(x+3) = 3^(-x) Could someone help me with this pro

Question 434663: I am having difficulty with this logarithmic equation. I have completed many problems like it, but this one eludes me.
4^(x+3) = 3^(-x)
Could someone help me with this problem. Maybe some example problems would help. Thank you.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
4^(x+3) = 3^(-x)
--------------
(x+3)*log(4) = -x*log(3)
x*log(4) + 3log(4) = -x*log(3)
x(log(4) + log(3)) = -3log(4)
x*log(12) = log(1/64)
x = log(1/64)/log(12)
x =~ -1.67366

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