Value of log 27 base 3 | Find log_3 27

The value of log 27 base 3 is equal to 3. Here, we learn to find the logarithm of 27 when the base is 3. The formula of log327 is as follows:

log327 = 3.

Find log 27 base 3

Answer: The value of log 27 with base 3 is equal to 3, that is, log327 = 3.

Explanation:

We know that

27 = 3×3×3

⇒ 27 = 33

Hence, log 27 base 3 will be equal to

log3 27 = log3 33

⇒ log3 27 = 3 log3 3 by the logarithm rule loga bn = n loga b.

⇒ log3 27 = 3 × 1 as we know logaa =1.

⇒ log3 27 = 3.

So the value of log 27 with base 3 is equal to 3, that is, log3 27 = 3.

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FAQs

Q1: What is log 27 with base 3?

Answer: Log 27 with base 3 equals 3, that is, log3 27 = 3. Because, 27=33 and take logarithms with base 3.

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