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
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, log2 8 = 3. This is because 8=23, now take logarithms with base 2.