Laws of logarithms
The question
2 log₂ 3
2 log₂ 3
2 log₂ 3
k log₂ m = log₂ (mᵏ)
3² = 9
2 log₂ 3=log₂ 9
- Both logarithms are to the same base, 2. Only logs with the same base can be combined.
- A number in front of a log moves up to become a power of what is inside.
- So the two arguments become one: 3² = 9. The answer is log₂ 9.
How it works.
- 01
Both logarithms are to the same base, 2. Only logs with the same base can be combined.
- 02
A number in front of a log moves up to become a power of what is inside.
- 03
So the two arguments become one: 3² = 9. The answer is log₂ 9.