logarithmic problem

Question

if lime juice has a pH of 1.7, what is the concentration of hydrogen ions in lime juice to the nearest hundredth

Answer 1

pH = -log₁₀[H₃O⁺]

 

-pH = log₁₀[H₃O⁺]

 

10^-pH = [H₃O⁺]

 

[H₃O⁺] = 10^-pH = 10^-1.7 = 1/10^1.7 ≅ 0.01995

 

I think you need more digits than just the nearest hundredth.