If log 125 / log 5 = x, then x is equal to ?

2024

If log 125 / log 5 = x, then x is equal to ?

  1. A.

    3

  2. B.

    2

  3. C.

    4

  4. D.

    ½

Attempted by 96 students.

Show answer & explanation

Correct answer: A

Key idea: use change of base: log125/log5 = log base 5 of 125.

  • Express 125 as a power of 5: 125 = 5^3.

  • Evaluate log base 5 of 125: log_5(5^3) = 3.

Therefore x = 3.

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