SOLUTION: Solve for x in log (1/125) to base x = 5

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Solve for x in log (1/125) to base x = 5      Log On


   

Question 1141817: Solve for x in
log (1/125) to base x = 5
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
That is log(x,(1/125))=5
OR
log%28x%2C%281%2F125%29%29=5.

log%28x%2C5%5E%28-3%29%29=5

-3%2Alog%28x%2C5%29=5

log%28x%2C5%29=-5%2F3

x%5E%28-5%2F3%29=5----------in exponential form

%28x%5E%28-5%2F3%29%29%5E%28-3%2F5%29=5%5E%28-3%2F5%29

x=5%5E%28-3%2F5%29OR x=1%2F%285%5E%283%2F5%29%29
about 0.3807307877