Question

Help please :c
If you have ever swum in a pool and your eyes began to sting and turn red, you are aware of the effects on an incorrect pH level. The pH level measures the concentration of hydronium ions and can be modeled by the function p(t) = –log10 t. The variable t represents the amount of hydronium ions, and p(t) gives the resulting pH level.

Water at 25 degrees Celsius has a pH of 7. Anything that has a pH lower than 7 is called acidic, while pH's above 7 are basic or alkaline. Seawater has a pH just over 8, while lemonade has a pH of approximately 3.

Answer 1

Create a graph of the pH function. Locate on your graph where the pH value is 0 and where it is 1. You may need to zoom in on your graph. I have the graph made I'm just not sure what the y values are.

Answer 2

@phi @Hero

Answer 3

@mathslover

Answer 4

How did you make the graph without knowing what the y values are?

Answer 5

I typed in the function they had being p(t)=-log10(t)

Answer 6

If you typed y = -log(x), you'd get the same graph. Maybe that will help you.

Answer 7

Okay, would I then do 0=-log(x)?

Answer 8

My graph is different when I typed in what you told me to type. Maybe I just graphed wrong.

Answer 9

When graphing, you usually begin with x and then figure out the corresponding y values.

Answer 10

You probably graphed wrong.

Answer 11

\(\log_{10}(x)\) is the same as \(\log(x)\)

Answer 12

Okay. Anyways how would I begin to find the y values though? I have to find where the PH value is 0 and 1.

Answer 13

If you have it graphed, you would see that

-log(1) = 0

So (1,0) is definitely a point on the graph of y = -log(x)

And I apologize, I meant for you to graph y = -log(x) (with the negative in front of the log).

Answer 14

I'm sorry I'm terrible at math, and yeah I can see that (1,0) is a point

Answer 15

And what does log(0) = ?

Answer 16

Am I suppose to graph it or solve it on my calculator?

Answer 17

I typed it in on Mathway and it says undefined

Answer 18

Yeah but try -log(0.1)

Answer 19

I got 1

Answer 20

So that should help you out a bit. You will only be interested in values 0 < x < 1

Answer 21

Okay.. Like I said I'm sorry and terrible with math.. I think I'm just going to call my teacher and see if he can help. Thanks a lot for everything and putting up with my idiocy! c:

Answer 22

Have you tried log(0.000001) yet?

Answer 23

That might help you with other PH Values

Answer 24

No I haven't

Answer 25

Okie dokie!

Answer 26

-log(0.1) = 1
-log(0.01) = 2
-log(0.001) = 3

and so on..

Answer 27

Anyway, good luck.