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 log_a bⁿ = n log_a b.

⇒ log₃ 27 = 3 × 1 as we know log_aa =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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