Nerdulator> put something in

Logarithms, powers and roots

Logarithms in any base, plus the matching power and root for the same pair of numbers.

Showing a worked example. Change the values and the result updates, and the answer lives in the URL.

Logarithms

log base 10 of 1,0003log_b(x) = ln(x) / ln(b)
Natural logarithm, ln6.907755279
Logarithm base 103
Logarithm base 29.96578428471,000 needs 10 bits to store

The matching power and root

10 to the power 1,000Too large to represent
1,000 to the power 101 × 10^30
The 10th root of 1,0001.995262315
Square root31.6227766017
Cube root10
Check10^3 = 1,000a logarithm and a power are the same statement written two ways

All calculators →

Logarithms, powers and roots | Nerdulator