What logarithms mean

A logarithm asks what power you need.

Precalculus: Exponentials and logarithms

lo g_{b} y = x ⟺ b^{x} = y

Work through it

$2^{3} = 8$ , so the answer is 3.

$1 0^{- 2} = 0.01$ , so the answer is $- 2$ .

$lo g (a + b) = lo g a + lo g b$

The rule applies to products: $lo g (ab) = lo g a + lo g b$ .

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