SOLUTION: log5 1/125 = x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: log5 1/125 = x      Log On


   



Question 302591: log5 1/125 = x
Answer by london maths tutor(243) About Me  (Show Source):
You can put this solution on YOUR website!
log5 1/125 = x
Rewrite log5 1/125 :
1/125 = 125^-1
This gives:
log 5 (125^-1) , bring down the power
-1 (log5 125) , rewrite 125 in term of power of 5
-1 (log5 (5^3), again bring down the power
(-1*3)(log5 5), note log5 5 = 1
Answer: x = -3