Common bases:
Result
—
Working
Same Argument, Other Bases
Logarithm Laws
Productlogₐ(xy) = logₐx + logₐy
Quotientlogₐ(x/y) = logₐx − logₐy
Powerlogₐ(xⁿ) = n·logₐx
Change of baselogₐx = ln x / ln a
Identitylogₐa = 1, logₐ1 = 0
Inversea^(logₐx) = x