Option C. a b = y/x. Answer & Solution Answer: Option C Solution: & a^x = b^y & a^x = b^y & x a = y b & a b = y x

Aptitude · Q13

Logarithm

Competitive Exams · Aptitude · question 13

Q13

If ax = by, then:

lo g \frac{a}{b} = \frac{x}{y}

\frac{lo g a}{lo g b} = \frac{x}{y}

\frac{lo g a}{lo g b} = \frac{y}{x}

Answer

None of these

Answer: Option C

Answer: Option C

Solution:

a^{x} = b^{y} \Rightarrow lo g a^{x} = lo g b^{y} \Rightarrow x lo g a = y lo g b \Rightarrow \frac{lo g a}{lo g b} = \frac{y}{x}