SOLUTION: The pH of a substance equals 僕og[H+] where [H+] is the concentration of hydrogen ions. [H+] for tomato juice is 10^-4. What is the pH of tomato juice?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: The pH of a substance equals 僕og[H+] where [H+] is the concentration of hydrogen ions. [H+] for tomato juice is 10^-4. What is the pH of tomato juice?       Log On


   

Question 415314: The pH of a substance equals 僕og[H+] where [H+] is the concentration of hydrogen ions. [H+] for tomato juice is 10^-4. What is the pH of tomato juice?
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Inserting 10%5E%28-4%29 into the pH formula we get:
-log%28%2810%5E%28-4%29%29%29
Now we can use a property of logarithms, log%28a%2C+%28p%5Eq%29%29+=+q%2Alog%28a%2C+%28p%29%29, to move the exponent of the argument out in front:
-%28-4%29log%28%2810%29%29
Since log(10) = 1 by definition this becomes:
-(-4)(1)
which simplifies to:
4
The pH of the tomato juice is 4.