Logarithm || Quantitative Aptitude || DUJAT 2021 || 25 August

If Log₂(xy²) = 0 and Log₂(x²y) = 3, find the value of 3x² – y + 4.

log₂x . log _x/64 2 = log _x/16 2, then x = ?

If log_a30 = A, log_a(5/3) = -B and log₂a = 1/3, then log₃ a equals

If x is a positive quantity such that 2^x = 3^log₅² , then 2x + 1 is equal to

If log₂(5 + log₃a) = 3 and log₅(4a + 12 + log₂b) = 3, then (a – b)³ is equal to

If log₁₆3 = , then find the value of log₂₇72 .

Find the value of given expression, log₃(2 + 6 + 18 + 54 + ……… up to 10 terms).

If x is a real number such that log₃ 5 = log₅ (2 + x), then which of the following is true?

If log₄m + log₄n = log₂(m + n), where m and n are positive real numbers, then which of the following must be true?