Change the exponential expression to an equivalent expression involving a logarithm. 43/2 = 8

Question

Change the exponential expression to an equivalent
expression involving a logarithm.

43/2 = 8

Answer 1

4^3/2 = 8

 

Since the base of the exponential term is 4, take log base 4 (log₄) of both sides:

 

log₄(4^3/2) = log₄(8)

 

3/2 = log₄(8)