Which of the following is equivalent to log [125] 25?

(A) 1.076

(B) 3/2

(C) 2/3

(D) 2/5

Ok so

log₁₂₅25

remember

logₐy=x means aˣ=y

and

remember that (xⁿ) ᵇ=xⁿᵇ

and

if aⁿ=aᵇ where a=a, then n=b

so

log₁₂₅25=x means

125ˣ=25

to solve, convert to same base

125=5³

25=5²

(5³) ˣ=5² means

5³ˣ=5²

therefor

3x=2

solve

divide both sides by 3

x=2/3

answer is C