Question

explain logs please
why is there log(), and ln(), and log() base 10, log() base e.
and what is the base of log(x) = 0, to make it become x = 1?

Answer 1

log(x) = 0 is true for all bases when x=1.

log() ==> when no base is stated, assume it's base 10.

Answer 2

so when the definition of a log, when converting it to an exponent form, it would have the base of 10 also?

Answer 3

If no base is stated, assume it's 10.
\[\Large \text{ if }\log _a b = x \text{ ...then... } a^x = b\]

Answer 4

and on my calculator, "log" is termed as log base 10 then also?

Answer 5

Yep.

Answer 6

ln() means base e.

Answer 7

alright, i'm getting this...
so ln() means log to the base e, is that what you are saying?

Answer 8

Yep

Answer 9

.... so why is there ln() if its the same thing as log base e? just... just because because?

Answer 10

Basically, yes. ln is easier than writing log base e, because ln is used frequently.

Answer 11

ok ok, i'm getting this!
one last question then.
so if I were doing the log thing you mention in your second response, it would look like this?
log(x) = 0 becomes 10^0 = x becomes 1 = x ?