Answer:
pH = 4,70
Step-by-step explanation:
For bromocresol, as HX is yellow and X⁻ is blue, the indicator will be a perfect green color when HX = X⁻.
Using Henderson-Hasselbalch formula:
pH = pka + log [X⁻]/[HX] (1)
Where pka is -log ka = -log2,0x10⁻⁵ = 4,70
As HX = X⁻, [HX] / [X⁻] = 1
Replacing in (1):
pH = 4,70 + log 1
pH = 4,70 + 0
pH = 4,70
I hope it helps!