Math, asked by poongaramesh123, 6 months ago

If log base 2 ( log base 3 ( log base 2 X) = 1 , then X is equal to​

Answers

Answered by Haritendra
18

Answer:

I hope you must have understood.

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Answered by amitnrw
7

Given : log₂(log₃log₂X)  = 1

To Find : Value of x

Solution:

logₐa = 1

log₂(log₃log₂X)  = 1

Let say   y = log₃log₂X

=> log₂Y = 1

=> Y = 2

Hence

log₃log₂X  = 2

Let say

Z = log₂X

=> log₃Z = 2

logₐb = x => aˣ = b

=>  Z = 3² = 9

Z = log₂X

=>  log₂X  = 9

=> X = 2⁹

=> X = 512

Value of X is 512

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