Question

I need some help with graphing logarithmic functions please!

Answer 1

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 2

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.

Answer 3

@Hero could you help me again please? I have all the info! lol

Answer 4

So you have

\(p(t) = -\log_{10}(x)\) and need to find where p(t) = 0 and p(t) = 1, right?

Answer 5

Yes.

Answer 6

Correction you have

\(p(t) = -\log_{10}(t)\) right?

Answer 7

What happens when t = 1 ?

Answer 8

p(1)=-log10(1)?

Answer 9

Yes, what result do you get for p(1)?

Answer 10

I'm getting 0?

Answer 11

Yes, correct. That's what we want, right?

Answer 12

So far we figured out that p(1) = 0 right?

Answer 13

Yes.

Answer 14

Okay, now what happens when t = 0.1?

Answer 15

I get 1! :D

Answer 16

What happens when t = 0.01?

Answer 17

But how would I graph this? and i'd get 2!

Answer 18

Oh, looks like you found a way to find all the pH's

Answer 19

You can graph it using this:
https://www.desmos.com/calculator

Answer 20

Thank you so much. :)

Answer 21

You're welcome

Answer 22

How can I give you a medal? lol

Answer 23

Looks like you figured it out

Answer 24

I have a question and I answered it by myself already would you mind checking it to see if im correct? @Hero

Answer 25

Post it as a new question though.