Leave one box empty — it becomes the unknown

🪜 Logarit

Solve log_b(x) = y whichever way you need: fill any two of base, argument and result, the empty one is computed with steps shown. Below, a live log-scale ruler shows why the logarithm is just “how many digits”.

log ( ) =
Base:

The log ruler — a logarithm is “how many digits”

Log laws, with your numbers

log_b(x) answers “b to what power gives x?”. Change of base: log_b(x) = ln x / ln b — that one line is how every calculator computes any logarithm. Decibels, pH, earthquake magnitudes and musical octaves are all logarithms in disguise.