express in exponential form log4(x) = 3

a. 4^x = 3
b. 4^3 = x
c. 3^x = 4
d. 3^4 =x

ANSWER

The correct choice is B. 4³=x

EXPLANATION

The given logarithmic expression is

We take antilogarithm of both sides to base 4.

This implies that,

B. 4³=x

Step-by-step explanation:

The log of  a number to a certain base is the exponent to the said base. therefore in the given expression, 4 becomes the base, 3 the exponent, and x the result.

So the base of the log is the base of the index while the index is the log.