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…

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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?

Accepted Answer

D - $(a^n+b)^n=ac$. log2 a = n, log2 b = n^2, log2 c = n^3, so a=2^n, b=2^(n^2)=a^n, c=2^(n^3). Then (a^n+b)^n = (2b)^n = 2^n * 2^(n^3) = a*c.

Answer

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

Answer

B - $a^n+b^n=c^n$

Answer

C - $a+b=c$

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…

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