Question

Write each equation in logarithmic form.

Answer 1

Answer:

B) $log_3 81=4$

Step-by-step 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.