SOLUTION: Could someone help with this problem: Find the exact solution, and a two-decimal-place approximation of the solution, when appropriate: 4^(2x+3) = 5^(x-2) The book says th

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Could someone help with this problem: Find the exact solution, and a two-decimal-place approximation of the solution, when appropriate: 4^(2x+3) = 5^(x-2) The book says th      Log On


   



Question 878786: Could someone help with this problem:
Find the exact solution, and a two-decimal-place approximation of the solution, when appropriate:
4^(2x+3) = 5^(x-2)
The book says that the answer is -(ln 1600/ ln (16/5)) which is approximately -6.3
Could you show me the steps at how that answer was derived because I keep getting a different answer.
Thank you.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the exact solution, and a two-decimal-place approximation of the solution, when appropriate:
4^(2x+3) = 5^(x-2)
The book says that the answer is -(ln 1600/ ln (16/5)) which is approximately -6.3
Could you show me the steps at how that answer was derived because I keep getting a different answer.
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It would be instructive to see what you did.