IPMAT Indore 2023 (MCQ) - Let a, b, c be real numbers greater than 1, and n be a positive real number not equal to 1. If log_n(log_2a) = 1; log_n(log_2b) = 2 and log_n(log_2c) = 3 then which of the following is true? | PYQs + Solutions

IPMAT Indore 2023

Modern Math

Logarithms

Medium

Let $a, b, c$ be real numbers greater than 1, and $n$ be a positive real number not equal to 1. If $log_n(log_2a) = 1; log_n(log_2b) = 2$ and $log_n(log_2c) = 3$ then which of the following is true?

(b-a)^n=(c-b)

a^n+b^n=c^n

a+b=c

(a^n+b)^n=ac

Correct Option: 4