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If 5^x = 1/125 what is the value of x

User Amelie
by
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2 Answers

1 vote
Answer:

x = -3

Explanation:

5^x = 1/125

Since the result is a fraction, we can tell x is a negative number

a^n = 1/a^n (instead n in “1/a^n isn’t a negative)

5^x = 1/125 or 1/5^x

5^-3 = 1/125

User Wing
by
8.2k points
3 votes

Answer:

the value of X is -3

Explanation:

5^x =1/125

or 5^x=(1/5)^3

or5^x=5^-3

equating powers we get

x=-3

User Yorick
by
8.8k points

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