Question

Help!!!

Express in exponential form log4(x) = 3

A. 4^x = 3
B. 4^3 = x
C. 3^x = 4
D. 3^4 =x

Answer 1

B. 4³=x

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.

Answer 2

The correct choice is B. 4³=x

EXPLANATION

The given logarithmic expression is

`log_(4)(x) = 3`

We take antilogarithm of both sides to base 4.

`{4}^{log_(4)(x)} = {4}^(3)`

This implies that,

`x = {4}^(3)`