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MCQ practice · SSC Higher Mathematics Board questions · Chapter 9: Exponential and Logarithmic Function

Rajshahi Board 2023

If log_(√27) x = 4, what is the value of x?

Think it through first, then pick an option.

  1. a √188
  2. b 4√27
  3. c 27
  4. d 729
Answer and explanation

Correct answer: d 729

x = (√27)⁴ = 27² = 729.

Why the other options are wrong

  • a √188: √188 has no basis; x = (√27)⁴, so this option does not answer the question.
  • b 4√27: 4√27 is a product; the power is (√27)⁴, so this option does not answer the question.
  • c 27: 27 = (√27)², but the power 4 is needed: 27² = 729.