Find Log 8 base 2 | Log_2 8 Value

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.

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.

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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: log_abⁿ = n log_ab.

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

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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