Logarithms — XAT Previous-Year Questions

3 previous-year questions on Logarithms from XAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

3 questions

Logarithms · XAT PYQs

Q1.

Consider the equation , where x is a real number log₅(x - 2) = 2log₂₅(2x - 4).

For how many different values of x does the given equation hold?

Q2.

If log₄ m + log₄ n = log₂ (m + n) where m and n are positive real numbers, then which of the following must be true?

Q3.

$\frac{\log (97 - 56 \sqrt{3})}{\log (\sqrt{7 + 4 \sqrt{3}})}$ equals which of the following?