Kerry's Reference Page

Laws of Exponents:

Definitions: a⁰ = 1

a^-t = 1 / a^t

I) a ^m * a ⁿ = a ^m+n

II) a ^m / a ⁿ = a ^m-n

III) (a ^m) ⁿ = a ^mn

Logarithms:

If x = a ^y , then y = log _a x

I) log_a (xy) = log_a x +log_a y

II) log_a (x/y) = log_a x - log_a y

III) log_axⁿ = n log_ax

Change of base:

Log_a x = log_b x / log_b a = (log_b x) * (log_a b)

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