Definitions
1. logax = Nmeans thataN= x.
2. logxmeans log10x. All logarules apply for log. When a logarithm is written without a base it meanscommon logarithm.
3. lnxmeans logex, whereeis about 2.718. All logarules apply for ln. When a logarithm is written "ln" it meansnatural logarithm.
Note: lnxis sometimes written Lnxor LNx.
Rules
1. Inverse properties: logaax=xanda(logax)=x
2. Product:loga(xy) = logax+ logay
3. Quotient:
4. Power: loga(xp) =plogax
5.Change of base formula:
Careful!!
loga(x + y) ? logax+ logay
loga(x – y) ? logax–logay
Thank You
Ruchi
Askiitians Faculty