Thanks. Makes perfect sense. Didn't think of it this way.
I finally got it. Thanks a lot. Sorry it took like literally 2 or more hours lel.
I don't know how to explain my problem.
I don't understand how
10^x - .2 *10^x
Transforms into 10^x(1 -.2)
The two problems I have are understand how 10^x dissappears and how the equation changes into (1-0.2)
What happens exactly when you factor out 10^x.
10^x - .2 *10^x *10^x
but we started with
10^x - .2 *10^x?
I was reffering to the
10^x -0.2 * 10^x
becoming just
(1 -0.2)10^x
I want to understand how this one of the 10^x disappears.
So basically you "convert" one 10^x to 1 because log 10 = 1 ?
Ok. I pretty much got it covered now. But can you explain the significance of 10^x. Since you're taking it of the equation. How can this be. I know you probably already explained this 100 times.
but 40/0,2 is 200?
I think I almost got it. Can you just explain why this method is wrong.
10^x - 0.8 * 10^x = 20
10^2x (1-0.8) = 20
10^2x + 0.2 = 20
10^2x + 2 = 200
10^2x = 100
10^x = 50
____________
10^x(1-0.8) = 20
10^x + 0.2 = 20
10^x + 2 = 200
10x^2 = 100
x = 2
+++Question: Why does can't I take -2 on both sides instead of dividing by two on both sides? I'm asking these questions to understand better.
What do you mean by " it is common to both" I am learning math in a Swedish school. And also, what would I do if there were for example 10^X -0.2 *10^x *10^x
