Logarithm involves the use of exponents to represent numbers.
If the pH level of grape juice is 3.3, the hydronium ion concentration is [tex]5.01 \times 10^{-4[/tex]
Given that:
[tex]P = -\log(c)[/tex]
To calculate c when [tex]P = 3.3[/tex]
We first substitute 3.3 for P in [tex]P = -\log(c)[/tex]
So, we have:
[tex]3.3 = -\log(c)[/tex]
Divide both sides by -1
[tex]-3.3 = \log(c)[/tex]
Apply law of logarithm
[tex]10^{-3.3)} = c[/tex]
Rewrite as:
[tex]c = 10^{-3.3}[/tex]
Using a calculator, we have:
[tex]c = 0.000501[/tex]
Rewrite as
[tex]c = 5.01 \times 10^{-4[/tex]
Hence, the hydronium ion concentration is [tex]5.01 \times 10^{-4[/tex]
Read more about logarithms at:
https://brainly.com/question/8657113
