Simplify log10 a(frac{1}{3}) + (frac{1}{4})log10 a – (frac{1}{12})log10a7

Correct Answer: Option C

Explanation

log¹⁰ a^(frac{1}{3}) + (frac{1}{4})log₁₀ a – (frac{1}{12})log₁₀a⁷ = log¹⁰ a^(frac{1}{3}) + log¹⁰(frac{1}{4}) – log₁₀ a^{(frac{7}{12})}
= log₁₀ a^{(frac{7}{12})} – log₁₀ a^{(frac{7}{12})}
= log₁₀ 1 = 0