Question

If $\frac{\log a}{y-z}=\frac{\log b}{z-x}=\frac{\log c}{x-y}$, then $abc=$

• A. $a^x{b}^y{c}^z$
• B. $a^{y+z}{b}^{z+x}{c}^{x+y}$
• C. 1
• D. All of these

Answer 1

Answer: (D)

(i) Equate the given ratios to $k$ and get the values of $\log a,\log b$, and $\log c$.
(ii) Add $\log a,\log b$, and $\log c$ and solve for $abc$.