IPMAT Question Paper 2023 | IPM Indore Quantitative Ability

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Question 18 :Let $a , b , c$ be real numbers greater than 1 , and n be a positive real number not equal to 1 . If $\log _n\left(\log _2 a\right)=1, \log _n\left(\log _2 b\right)=2$ and $\log _{ n }\left(\log _2 c \right)=3$, then which of the following is true?

1. $a^n+b^n=c^n$
2. $\left(a^n+b\right)^n=a c$
3. $a+b=c$
4. $(b-a)^n=(c-b)$

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Video Explanation

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Explanatory Answer

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The question is "Let $a , b , c$ be real numbers greater than 1 , and n be a positive real number not equal to 1 . If $\log _n\left(\log _2 a\right)=1, \log _n\left(\log _2 b\right)=2$ and $\log _{ n }\left(\log _2 c \right)=3$, then which of the following is true?"

Hence, the answer is '$\left(a^n+b\right)^n=a c$'

 

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