00:01
In this question, we will be analytically solving this exponential inequality.
00:11
Okay, it's a relatively simple inequality with just two terms, e to the power of x on the left side, and that being greater than 53 on the right.
00:30
How do we go about solving this? well, it's a bit hard to compare exponential terms with what you could call regular terms.
00:40
Like single constant terms.
00:45
So what we can do is write this as an exponential term itself.
00:52
And we can use logarithm and exponential properties to do this.
00:57
Specifically, we'll use the fact that the exponential logarithmic functions are inverses of each other.
01:06
And so 53 can be written as e to the power of, the exponent to which e is raised to get 53, which is logarithm of 53, natural logarithm, that is...
