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25 November, 22:49

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

(A) 1.076

(B) 3/2

(C) 2/3

(D) 2/5

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Answers (1)
  1. 26 November, 00:32
    0
    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
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