SOLUTION: Solve this equation. Round to the nearest ten-thousandth. 4^(n-2)=3

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solve this equation. Round to the nearest ten-thousandth. 4^(n-2)=3       Log On


   

Question 951400: Solve this equation. Round to the nearest ten-thousandth.
4^(n-2)=3


Answer by erica65404(394) About Me  (Show Source):
You can put this solution on YOUR website!
4%5E%28n-2%29=3
ln each side.
ln%284%5E%28n-2%29%29=ln%283%29
use the exponent rule to bring the exponent in front of the ln.
%28n-2%29ln%284%29=ln%283%29
solve for n
%28%28n-2%29ln%284%29%2Fln%284%29%29=%28ln%283%29%2Fln%284%29%29
n-2=.7925
n-2%2B2=.7925%2B2
n=2.7925
The answer is 2.7925