log₂ 16 = 4
- A logarithm is defined as a power to which a number must be raised to obtain another value. This is the most convenient way to represent large numbers.
- Logarithms have several important properties that prove that multiplication and division of logarithms can be written in terms of addition and subtraction logarithms.
- There are certain rules by which logarithmic operations can be performed. The names of these rules are:
- Product rules
- Division rules
- Power Law/Exponential Law
- Changes to basic rules
- Base change rule
- Log derivation
We need to evaluate log₂ 16
Using the property
logₐ (mⁿ) = n logₐ m
16 = 2⁴
log₃ 125 can be written as
log₂ 16 = 4 log₂ 2
We know that logₐ a = 1
4 log₂ 2
= 4
Hence , log₂ 16 = 4
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