SOLUTION: Please help w/ the following: Find x if e^59x =8, and you are given ln 8=2.0794 Thank You.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please help w/ the following: Find x if e^59x =8, and you are given ln 8=2.0794 Thank You.      Log On


   

Question 54891: Please help w/ the following:
Find x if e^59x =8, and you are given ln 8=2.0794
Thank You.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Find x if e^59x =8, and you are given ln 8=2.0794
e%5E%2859x%29=8 Take the natural log of both sides
ln%28e%5E%2859x%29%29=ln%288%29 Becausehighlight%28ln%28a%5Eb%29=bln%28a%29%29
%2859x%29ln%28e%29=ln%288%29 Because highlight%28ln%28e%29=1%29
59x%281%29=ln%288%29
59x=ln%288%29
59x%2F59=ln%288%29%2F59
x=ln%288%29%2F59 Because ln(8)=2.0794
x=2.0794%2F59
highlight%28x=.035244%29
Happy Calculating!!!