10.7k views
1 vote
How would I solve 1/5=125^x

User Divadpoc
by
6.0k points

2 Answers

3 votes
This is a log equation. To solve

125^x = 1/5
x log 125 = log 1/5
x = log (1/5) / log 125

x = -(1)/(3)

To show that we are correct. Input -1/3 for x
125^(-1/3) with a calculator and it will = 1/5, meaning it is correct.


125^(-1/3) = (1)/(5)
User Daniel Porteous
by
6.9k points
4 votes
Hi there,

This question is a bit weird lol, but anyway here is how to do it and the answer:

1/5 = 123² x
1/5 = 15625x
15625x = 1/5

Hence, X = 1/5

Hope this helps :)
User Tarmil
by
6.2k points
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