x^n/x^m=x^(m-n)

Logarithm: log(n)x+log(n)y=log(n)(xy)

Logarithm x- logarithm y = logarithm x/y

log(n)x^y=ylog(n)x

There is also a formula for changing the bottom.

log(x)y=log(n)y/log(n)x

Where log(n)x represent that logarithm of x with n as the base.

The relationship between exponent and logarithm:

x^n=y

Then log (x) y = n.