Powers and logarithms

aᵇ, ⁿ√a, log_b(x), ln — the full set with explanations

Parameters

log_b(x) = y means bʸ = x. log_b(x) = ln(x)/ln(b) — change of base. Key properties: log(ab) = log a + log b, log(aᵇ) = b·log a. Practice: log₂(1024) = 10 — how many halvings to reach 1; log₁₀(1,000,000) = 6 — the order of magnitude.

Results

aᵇ = 210
1024
log2(1024)
10
ln(1024)
6.9315
lg(1024)
3.0103
10√1024
2