Simplify log

^{10}a^{(frac{1}{3})}+ (frac{1}{4})log_{10}a – (frac{1}{12})log_{10}a^{7}-
**A.**

1 -
**B.**

(frac{7}{6})log_{10}a -
**C.**

zero -
**D.**

10

##### Correct Answer: Option C

##### Explanation

log^{10} a^{(frac{1}{3})} + (frac{1}{4})log_{10} a – (frac{1}{12})log_{10}a^{7} = log^{10} a^{(frac{1}{3})} + log^{10}(frac{1}{4}) – log_{10} a^{(frac{7}{12})}

= log_{10} a^{(frac{7}{12})} – log_{10} a^{(frac{7}{12})}

= log_{10} 1 = 0