Question

If 5^a =625, then find the value of a.

Answer 1

a = 4

Explanation:

note that 625 =
`5^(4)` , then

`5^(a)` =
`5^(4)`

Since the bases on both sides are equal, both 5 then equate exponents, so

a = 4

Answer 2

4

Explanation:

Prime factorize 625

625 = 25 * 25 = 5 * 5 * 5 * 5

`5^(a) = 625\\\\5^(a) = 5^(4)`

As base are same, compare the exponents

a = 4