SOLUTION: Solve for x. Round to the nearest ten-thousandth. 6^(3x+8) = 11

Algebra ->  Equations -> SOLUTION: Solve for x. Round to the nearest ten-thousandth. 6^(3x+8) = 11      Log On


   

Question 1060126: Solve for x. Round to the nearest ten-thousandth.
6^(3x+8) = 11
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Same problem, different numbers.
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5^(-1x+1) = 15
(1-x)*log(5) = log(15)
log(5) - x*log(5) = log(15)
x*log(5) = log(5) - log(15) = log(1/3)
x = log(1/3)/log(5)
x =~ -0.6826