Log Base 2 of 1024

Logarithm Calculator
Log base
x

What is log₂ 1,024?

Answer

log2 1,024 =
10

log2 is the log base 2.

log2 1,024 is the power you raise 2 to, to get 1,024: 2y = 1,024.

2¹⁰ = 1,024 ✓

Oxy

Answer point (1,024, 10), beyond the drawing (the arrow points to it).

The curve y = log2 x passes through (1, 0) and (2, 1) and rises: for x > 1 the log is positive, for 0 < x < 1 negative.

Log of 1,024 in different bases
BaseNotationValue
eln 1,024≈ 6.9315
10log 1,024≈ 3.0103
2log₂ 1,02410

See Also

Log base 2 of nearby numbers

FAQ

What is log₂ 1,024?

log₂ 1,024 = 10

How to find log₂ 1,024 without a calculator?

Write 1,024 as a power of 2: 1,024 = 2¹⁰. The exponent is the answer: log₂ 1,024 = 10.

What does log without a base mean?

At school and on a calculator, log x without a base is the common log, base 10: log 100 = 2. In Python, math.log(x) is the natural log ln x; in Excel, LN is the natural log and LOG is base 10.