Question

log base 4 (log base 3 (log base 2 of X)) = 0??

Answer 1

log base 4 (log base 3 (log base 2 of X)) = 0

Answer 2

Therefore, the value of x is 8.

Given:

log base 4 (log base 3 (log base 2 of X)) = 0

To Find:

The value of x.

Solution:

We can simply solve this numerical problem by using the following process.

Given that

⇒ log₄ ( log₃ ( log₂ x )) = 0

Taking 4th power on both sides

⇒ log₃ (log₂ x )) = 4⁰

⇒  log₃ (log₂ x )) = 1

Taking 3rd power on both sides

⇒ log₂ x = 3¹

⇒ log₂ x = 3

Taking 2nd power on both sides

⇒ x = 2³

⇒ x = 8

Therefore, the value of x is 8.

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