Given the equation that represents pH level.
The pH level measures the concentration of hydronium ions and can be modeled by the function p(t)
[tex]p(t)=-log_{10}t[/tex]The variable t represents the amount of hydronium ions, and p(t) gives the resulting pH level.
a. we will find pH when t = 0.45
so, substitute t = 0.45 and find the value of p
[tex]pH=-log_{10}0.45=0.347[/tex]b. We will convert the logarithmic function into an exponential function using y for the рН.
So, the process will be as follows:
[tex]\begin{gathered} y=-log_{10}t \\ -y=log_{10}t \\ \\ 10^{-y}=t \\ \end{gathered}[/tex]So, the answer will be, the equation will be as follows:
[tex]t=10^{-y}[/tex]