Suppose that log2[log3(log4a)] = log3[log4(log2b)] = log4[log2(log3c)] = 0 then the value of a + b + c is
Explanation:
Given, log2[log3(log4a)] = log3[log4(log2b)] = log4[log2(log3c)] = 0
⇒ log2[log3(log4a)] = 0 ⇒ log3(log4a) = 20 = 1 ⇒ log4a = 31 = 3 ⇒ a = 43 = 64
Also, log3[log4(log2b)] = 0 ⇒ log4(log2b) = 30 = 1 ⇒ log2b = 41 = 4 ⇒ b = 24 = 16
Also, log4[log2(log3c)] = 0 ⇒ log2(log3c) = 40 = 1 ⇒ log3c = 21 = 2 ⇒ c = 32 = 9
∴ a + b + c = 64 + 16 + 9 = 89.
Hence, option (c).
Help us build a Free and Comprehensive Preparation portal for various competitive exams by providing us your valuable feedback about Apti4All and how it can be improved.