00:01
This question gives us an exponential equation and asks us to solve for it.
00:05
The equation it gives looks like this.
00:07
2e to the x equals 50.
00:10
First, it wants us to isolate the exponential term.
00:15
That is, we want only the exponent and its base.
00:18
Here, the exponent, of course, is x, its base is e.
00:21
So we want to get rid of this 2.
00:24
To do that, we'll divide both sides by 2.
00:26
So we'll have 2 e to the x over 2 equals 50.
00:31
Over 2.
00:34
Simplifying both sides, we'll just get e to the x equals 25.
00:40
So now that we've isolated the exponential term, we now want to isolate our variable.
00:45
Since our variable is in the exponent, we need some way to bring it down out of the exponent...