Value of log 81 base 3 | Find log_3 81

The value of log 81 base 3 is equal to 4. As log 81 base 3 is written as log381, we have that log381 =4. In this post, we will learn how to find the logarithm of 81 with base 3.

The formula of the logarithm of 81 with base 3 is given as follows:

log381 =4.

Find log 81 with base 3

Answer: The logarithm of 81 to the base 3 is equal to 4.

Explanation:

As 81 = 3×3×3×3, we have that 81=34.

So, log381 = log334

⇒ log381 = 4 log33 by the logarithm formula: logabn = n logab

⇒ log381 = 4 × 1 as we know logaa =1.

⇒ log381 = 4.

So the value of logarithm of 81 with base 3 is equal to 4.

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FAQs

Q1: What is the value of log81 base 3?

Answer: The value of log81 base 3 is equal to 4, that is, log381 =4.

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