SOLUTION: I am stuck. I'm trying solve the exponential equation {{{5^(x+2)=4^(1-x)}}} Any help would be appreciated

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I am stuck. I'm trying solve the exponential equation {{{5^(x+2)=4^(1-x)}}} Any help would be appreciated      Log On


   



Question 16252: I am stuck. I'm trying solve the exponential equation 5%5E%28x%2B2%29=4%5E%281-x%29
Any help would be appreciated

Found 2 solutions by longjonsilver, 22:
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
(x+2)log5 = (1-x)log4
xlog5 + 2log5 = log4 - xlog4
xlog5 + xlog4 = log4 - 2log5
x(log5 + log4) = log4 - log25
--> x = (log4 - log25)/(log5 + log4)
--> x = -0.61173 to 5dp.

jon.

Answer by 22(3) About Me  (Show Source):