grade 12 Advanced functions question

Question

Solve for x: log₄(log₃(log₂X))=1

Answer 1

first raise both sides of the equation to power 4,

 

so:  

 

                      (log3(log2X))= 4^1 = 4

 

 

now raise both sides to power 3

 

so:

                    (log2X) = 3^4 = 81

 

so

               X= 2^81  (2 to power 81)

 

Let me know if you have questions.