Question

If log4 (log3 x) = 1/2 , then x =

Answer 1

Answer:

x = 6

Note:

★ If log_b(N) = a , then N = b^a

★ log(A•B) = logA + logB

★ log(A/B) = logA - logB

★ log(Nⁿ) = n(logN)

Solution;

Given : log_4[ log_3(x) ] = 1/2

To find : x = ?

We have ;

=> log_4[ log_3(x) ] = 1/2

=> log_3(x)= 4^(1/2)

=> log_3(x) = 2

=> x = 3²

=> x = 6

Hence,

The required answer is :

x = 6

Answer 2

logbase4 (logbase3 x)=1/2

logbase3 x=4^(1/2)

logbase3 x=2

x=3^2

x=6