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The concept of pH is fundamentally based on a logarithmic scale, which means that each whole number change in pH corresponds to a tenfold change in hydrogen ion concentration. The pH scale ranges from 0 to 14, with lower pH values indicating higher concentrations of hydrogen ions (H⁺) and higher pH values indicating lower concentrations.

In this case, a solution with a pH of 5 has more hydrogen ions than a solution with a pH of 7. To understand how many times higher the concentration of hydrogen ions is in the pH 5 solution compared to the pH 7 solution, we can calculate the difference in pH values:

- The difference between 5 and 7 is 2.

Using the logarithmic scale, each unit change in pH represents a tenfold difference in hydrogen ion concentration. Therefore:

- A difference of 2 in pH (from 5 to 7) indicates that the concentration of hydrogen ions is \(10^2\) times, or 100 times greater.

Thus, the concentration of hydrogen ions in the solution with a pH of 5 is 100 times higher than that in the solution with a pH of 7