00:01
You're given an expression, log base, one -fourth of 16.
00:04
Let's set it to x.
00:06
So we're solving for x.
00:08
Let's convert it into an exponential form.
00:14
Clearly, it's quite, if we want to solve it manually, it will be easier.
00:19
So let's look at the relationship between 1 -4th and 16.
00:22
So we see that 16 is equal to 4 squared.
00:28
And so let's, and one fourth is equal to four rates to the negative one power.
00:36
And so with these relationships, we can now rewrite this equation as log, base, 4 to the negative 1 power to 4 squared plus x.
00:52
And now we can approach converting into the exponential form...