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Answer the following: If log3 [log2 (log3 x)] = 1, show that x = 6561 - Mathematics and Statistics

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Question

Answer the following:
If log3 [log2 (log3x)] = 1, show that x = 6561
Sum

Solution

log3 [log2 (log3x)] = 1

∴ log2 (log3x) = 31 = 3

∴ log3x = 23 = 8

∴ x = 38 = 6561.

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Chapter 6: Functions - Miscellaneous Exercise 6.2 [Page 131]

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