The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by pH = -logx where x represents the concentration of the hydrogen ions in the solution in moles per liter. Find the pH if the hydrogen ion concentration is 1 x 10-1

Question

psymon · Answer

The pH matches the negative exponent given, so the pH is 1. As for the -logx proof part of it

$$-\log_{10}(10^{-1} )$$
With log rules, I can bring that -1 up as a power inside of the parenthesis
$$\log_{10}(10^{1} )$$

When log is written with no base, there is a sort of hidden base 10 there. Also per log rules, if the base matches up with the constant inside of the log, everything cancels and simply leaves the exponent remaining. So basically everythign cancels and you're left with pH of 1.

anonymous · Answer

Thank you! also maybe you can help me, my graphing calculator's batteries have died, do you know a good online one?