Explanation

Trying x = 0: LHS = 0·log₁₀(10/3) + log₁₀ 3 = log₁₀ 3, and RHS = log₁₀(2 + 3⁰) + 0 = log₁₀ 3. Both sides agree, and x = 0 is the solution: option D. For instance x = 1 gives LHS = 1 but RHS = log₁₀ 5 + 1 > 1.