Question

lets investigate! find the missing values of x in the table given the equation below for y. use your knowledge of logarithms to help you! y = 10^x

Explanation:

Step1: Recall logarithmic - exponential relationship

If $y = 10^{x}$, then $x=\log_{10}y$.

Step2: Calculate $x$ for $y = 50$

Substitute $y = 50$ into $x=\log_{10}y$. So $x=\log_{10}50$.

Step3: Calculate $x$ for $y = 100$

Substitute $y = 100$ into $x=\log_{10}y$. Since $100 = 10^{2}$, then $x=\log_{10}100=2$.

Answer:

For $y = 50$, $x=\log_{10}50$; for $y = 100$, $x = 2$