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 log_{2}8 is given below:

log_{2}8 = 3.

## Value of log 8 base 2

**Answer:** The value of log 8 with base 2 is equal to 3, that is, log_{2}8 = 3.

**Explanation:**

We know that

8 = 2×2×2

So, 8 = 2^{3}

Therefore, log 8 base 2 will be equal to

log_{2} 8 = log_{2} 2^{3}

⇒ log_{2} 8 = 3 log_{2} 2, using the logarithm rule: log_{a}b^{n} = n log_{a}b.

⇒ log_{2} 8 = 3 × 1. This is because log_{a}a =1.

⇒ log_{2} 8 = 3.

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

**Read Also:** Value of log 27 base 3

Logarithm rules and properties

Common logarithms and natural logarithms

## FAQs

### Q1: What is log 8 with base 2?

**Answer:** Log 8 with base 2 is equal to 3, that is, log_{2} 8 = 3. This is because 8=2^{3}, now take logarithms with base 2.