Question

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

(A) 1.076
(B) 3/2
(C) 2/3
(D) 2/5

Answer 1

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