Question

I'm so confused, If anyone could help me with the explanation and answers that would be great! Thank you!

Answer 1

See below

Explanation:

Picture one) Subtract ln
`d` from both sides. It should look like

-ln
`d`+ln
`a` = -ln
`d`-
`bc`+ln
`d`

Picture two) Subtract (or rather, add) -ln
`[A_0]` to both sides. It should look like

-ln
`[A_0]` + -ln
`[A]` = -ln
`[A_0]` - kt + ln
`[A_0]`

Picture three) Minus b from both sides. Should look like

`-b+a=-b+b-cd`

So, why the heck do any of this?

Since you're trying to find a particular variable, you need to isolate it first in order to express the value of the variable.

For example, let's say i'm trying to find what "v" equals

I'm given the equation
`vx-vy^2=xy^2-x^2+vy+vx^2`

First, I need to isolate the variable. I can do that by dragging vy and vx^2 over to the left.

It will look like this:
`vx-vy^2-vy-vx^2=xy^2-x^2`

Then, I factor out variable "v"

`v(x-y^2-y-x^2)=xy^2-x^2`

Finally, to find the value of v, I divide both sides by (x-y^2-y-x^2)

Final product:
`v=(xy^2-x^2)/(x-y^2-y-x^2)`

Voila :D

I hope this helped you understand even the tiniest of margins more.