SOLUTION: Solve the exponential equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.) 7^−5t = 0.2 t=?

Question 723113: Solve the exponential equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.)
7^−5t = 0.2
t=?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
7^−5t = 0.2
-----
log(7^−5t) = log(0.2)
-5t*log(7) = log(0.2)
t = -log(0.2)/(5*log(7))
t =~ 0.165
RELATED QUESTIONS
Solve the exponential equation algebraically. Approximate the result to three decimal... (answered by stanbon)

SOLUTION: Solve the exponential equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.) 7^&#8722;5t = 0.2 t=?