Logarithim & Log Function Properties
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9 Terms
Inverse Properties of Logs
a^log sub a x = x, log sub a a^x = x
Product Rule
log sub a (m • n) = log sub a m + log sub a n
Quotient Rule
log sub a (m/n) = log sub a m - log sub a n
Power Rule
log sub a m^z = z • log sub a m
Change of Base Formula
log sub a x = (log sub b x)/(log sub b a) (usually b is ln or common log as the point is to create a calculator-compatible number)
b Value in Change of Base Formula
Can be ANYTHING
Logarithmic Functions… (Solutions)
Need to be checked for positive logs from x values
The Lalaland Rule
If both sides have the same base (exponential) or have logs, you can cancel them out, distributing if needed
Solving Exponentials on Both Sides w/o Common Bases
You’re allowed to log both sides (any log)
