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Write each equation in logarithmic form.

Write each equation in logarithmic form.-example-1

1 Answer

2 votes

Answer:

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.

User Francois Jacq
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