00:01
Okay, so what's the context here? well, p represents the percent of surface light, and x represents the depth in meters of certain bodies of water.
00:08
So i want to find the euphoric depth.
00:11
What's the euphoric depth? this is when it's 1 % of the light at the surface, which is at 1 .1 % of the decimal, 0 .01, equals e to negative k x.
00:22
So i'm given two different k values here.
00:24
So first i'm just going to solve for x.
00:26
How do i get rid of this exponent? ln is the same thing as log base e, so that'll automatically inverse is e in the logarithmic function, ln of 0 .01 equals negative kx.
00:38
How do i get x by itself, divide by negative k to both sides? so x is the same thing as ln of 0 .1 divided by negative k.
00:46
Now i have two different values i'm trying to sell for tahoe.
00:50
So my depth is going to be ln of 0 .01, divided by my constant is 0 .079...