SOLUTION: Solve for X: 9 ^(-x-3) = 14 ^(-4x) Write the exact answer using base-10 logarithms.

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Question 447543: Solve for X:
9 ^(-x-3) = 14 ^(-4x)
Write the exact answer using base-10 logarithms.
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for X:
9 ^(-x-3) = 14 ^(-4x)
Write the exact answer using base-10 logarithms.
Taking the logarithm of both sides gives:
(-x-3)log9 = (-4x)log14
Collect like terms and solve for x:
-xlog9 + 4xlog14 = 3log9
(4log14 - log9)x = 3log9
x = 3log9/(4log14 - log9)