when figuring out ln and exp, how and why are they related? Is there a mathematical number to these rather than using these?
They are functions, each of which is the inverse of the other. By definition ln(x) is log to the base e of x, and exp(x) is e to the power of x (where e is the number 2.718...).
They are functions, not numbers; though when x is a specific number they each return a number.
For example, suppose x is 2, then exp(2) = 7.389056098930650227230427460575...
Now suppose x is 7.389056098930650227230427460575..., then ln(7.389056098930650227230427460575...) = 2
ln reverses the effect of exp.
Suppose x is 5, then ln(5) = 1.6094379124341003746007593332262...
Now supoose x is 1.6094379124341003746007593332262..., then exp(1.6094379124341003746007593332262...) = 5
exp reverses the effect of ln.
.
They are functions, each of which is the inverse of the other. By definition ln(x) is log to the base e of x, and exp(x) is e to the power of x (where e is the number 2.718...).
They are functions, not numbers; though when x is a specific number they each return a number.
For example, suppose x is 2, then exp(2) = 7.389056098930650227230427460575...
Now suppose x is 7.389056098930650227230427460575..., then ln(7.389056098930650227230427460575...) = 2
ln reverses the effect of exp.
Suppose x is 5, then ln(5) = 1.6094379124341003746007593332262...
Now supoose x is 1.6094379124341003746007593332262..., then exp(1.6094379124341003746007593332262...) = 5
exp reverses the effect of ln.
.