00:01
Okay, the first step here is do some algebra and you have to know some work with exponents.
00:07
If you have a to the power of x, you can write that as e to the power of x lma.
00:16
That's a well -known formula that you can prove quite easily with laws of logs.
00:23
So here then what i can do is rewrite this.
00:26
Instead of five power x, i can write e to the x to the x.
00:32
Ln5 times e to the x the x the x.
00:37
So from there, again laws of exponents, i can add the powers.
00:45
I get e to the x, ln5 plus x, the x, and that i can write as e to the x and then ln5 plus 1, the x.
01:02
Now in that format i can do reverse differentiation.
01:08
So my answer here then will be the same thing, e to the x, ln5 plus 1.
01:19
But not quite because if i differentiate this, i get the same thing times by the chain rule ln5 plus 1.
01:28
So i put in front 1 over ln5 plus 1.
01:35
To remove the ln5 plus one that occurs upon differentiation...
