Question

If $\log_{3}[\log_{2}(\log_{x})]=1$, show that x = 6561.

Answer 1

Answer:

x = 6561

Step-by-step explanation:

Hi,

Using the definition of logarithm,

if  logₐx = n, then x = aⁿ

Consider log₃[log₂(log₃x)] = 1

So by definition of logarithm

[log₂(log₃x)] = 3¹

log₂(log₃x) = 3

So by definition of logarithm

log₃x = 2³

log₃x = 8

So by definition of logarithm

x = 3⁸

x = 6561

Hence, Proved !

Hope, it helps !

Answer 2

Answer:

Please see the attachment...

I hope it helps.....