Question

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

Answer 1

Answer:

the value of X is -3

Step-by-step explanation:

5^x =1/125

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

or5^x=5^-3

equating powers we get

x=-3

Answer 2

Answer:

x = -3

Step-by-step 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