Exponential and Logarithmic Wrap-Up

One to One:

Exponential:

2^x = 2^3x-1 original problem

x = 3x-1 because they are one to one, you can disregard their base

1/2 = x solve

Logarithmic:

log(x-4) - log(3x-10) = log(1/x) original problem

use the logarithmic laws

because they are one to one, you can disregard the logs

continue solving

Inverse (key to everything):

Exponential:

e^x-5 = 0

lne^x = ln 5

x = ln5

use calculator

Logarithmic:

take 10 to the power of each side (exponentiation)

continue solving