00:01
In this exercise, we'll be solving several different log problems.
00:05
But before we do, let's just review for a moment how we go from a log equation to an exponential equation.
00:13
If i have a log equation, log of x base b equaling y, and i want to change that to an exponential equation.
00:21
Well, the base from my logarithm stays the base for my exponent.
00:25
So base b.
00:27
Logs equal exponents.
00:29
So my exponent is going to be y.
00:31
And then that equals the argument of my log function, in this case x.
00:36
This is how you go from a log equation to an exponential equation or vice versa.
00:41
So let's try to actually do one or two of these.
00:45
First, we have log of 1 over 81 base 3 equaling x.
00:51
Let's rewrite this as an exponential.
00:54
My basis 3 logs equal exponents.
00:58
So my exponent is x.
01:00
And that's going to equal the argument of my log function, 1 over 81...