Question

Write each equation in logarithmic form.

Answer 1

B)
`log_3 81=4`

Explanation:

The definition of logarithm is the following:

The logarithm of a certain number x with respect to a certain base b is the exponent by which b should be raised in order to give x. Mathematically, given the equation

`b^y = x` (1)

The logarithm of x to base b is defined as

`y=log_b x` (2)

In this problem, we have the following equation:

`3^4=81`

By comparing it with equation (1), we notice that:

b = 3

y = 4

x = 81

Therefore, by re-arranging the variables using equation (2), we can rewrite it as:

`4=log_3 81`

Which corresponds to option B.