The pH of a solution is determined by the formula: \[ \text{pH} = -\log[H^+] \] The hydrogen ion concentration \[ [H^+] = 1 \times 10^{-4} \] This yields a pH calculation of \[ \text{pH} = -\log(1 \times 10^{-4}) = 4 \] Consequently, the solution exhibits a pH of 4, signifying an acidic nature.