logs

today im going to teach you how to put logs in exponential form, expand logs, and condense them. this is a really simple concept once you know what you are doing. its pretty hard to explain any concept unless ther eis an example so lets do some examples.


EX:put in exponential form
log base 4   16 = 2
you take the base which is 4 and you raise is to what the whole thing equals
4^2 = 16

expand:
log (MN)^2
when you expand logs you put in terms of addition if they are multiplied and subtraction if they are divided and you put exponents in front of the equation
2 log M + 2 log N

condense:
log 8 + log 5 - log 4
to condense you just do the expanding steps backwards.
log (8)(5) / 4
log 40/4
log 10
since this is log 10 the base i also 10 which cancles everything and your equation equals 1