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: log_abⁿ = n log_ab

⇒ log₃81 = 4 × 1 as we know log_aa =1.

⇒ log₃81 = 4.

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

More Logarithms: Value of log 81 base 27

Value of log 8 base 2

Find log 2 base 8

Value of log 27 base 3

Basics of Logarithms

Logarithm formulas with proofs

FAQs