What is log base 2 of 16?

The log base 2 of 16 is 4, because 2 raised to the power of 4 equals 16.

Log Base 2 Calculator

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How to calculate log base 2 of 16

1
First, identify the target value x = 16.
2
Apply the change-of-base formula: log₂(x) = ln(x) / ln(2).
3
Calculate the natural logarithms:
ln(16) ≈ 2.772589
ln(2) ≈ 0.693147
4
Divide the values to get the final result: 4.

Nearby Log Base 2 Values

Value log₂(x)
16.0 4.000000
16.1 4.008989
16.2 4.017922
16.3 4.026800
16.4 4.035624
16.5 4.044394
16.6 4.053111
16.7 4.061776
16.8 4.070389
16.9 4.078951

Tips to Quickly Calculate Log base 2 of 16

1
Check whether 16 is close to a power of 2.
2
If 16 equals 2ⁿ, then log₂(x) = n.
3
For large numbers, compare with nearby powers like 512, 1024, or 2048.
4
Use bit-length intuition for fast approximation.

FAQs about log base 2 of 16

It is 4.
Yes, it is an exact power of 2.
Because 2 raised to the power of 4 equals 16.
It is widely used in computer science, binary systems, and algorithms.