Question

$a^x=b,b^y=c,c^2=a$.എങ്കിൽ xy എത്ര?

• A. 2
• B. 1
• C. 1/2
• D. ab

Answer 1

Answer:

C. 1/2

$a=c^2$ 

$a=c^2=(b^y)^2=b^{2y} ; c = b^y$

$\because{b=a^x}$

$\implies{a}={b^{2y}=(a^x)^{2y}}$

$\implies{a=a^{x2y}=a^{2xy}}$

$a=a^{2xy}$

$2xy=1$

$xy=1/2$