Find Log 8 base 2 | Log_2 8 Value

The value of log 8 base 2 is equal to 3. Here, we will learn how to find logarithm of 8 with base 2. The formula of log28 is given below:

log28 = 3.

Value of log 8 base 2

Answer: The value of log 8 with base 2 is equal to 3, that is, log28 = 3.

Explanation:

We know that

8 = 2×2×2

So, 8 = 23

Therefore, log 8 base 2 will be equal to

log2 8 = log2 23

⇒ log2 8 = 3 log2 2, using the logarithm rule: logabn = n logab.

⇒ log2 8 = 3 × 1. This is because logaa =1.

⇒ log2 8 = 3.

So the value of log 8 base 2 is equal to 3, that is, log2 8 = 3.

Read Also: Value of log 27 base 3

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FAQs

Q1: What is log 8 with base 2?

Answer: Log 8 with base 2 is equal to 3, that is, log2 8 = 3. This is because 8=23, now take logarithms with base 2.

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