Powers, roots & logs calculator

How it works

Enter a base and exponent, a root, or a logarithm.

The formula

aⁿ = a multiplied by itself n times. ⁿ√a = a^(1/n). log_b(x) = y means bʸ = x; log_b(x) = ln x ÷ ln b.

Worked example

2¹⁰ = 1,024. √144 = 12. log₁₀ 1,000 = 3. log₂ 8 = 3 because 2³ = 8.

Good to know

• Logarithms of zero or negative numbers are undefined.