Let x , y be real numbers such that x 2 y 0 and 2 log x - 2 y = log x + log y . Then the possible value s of x y

Question

Let x , y be real numbers such that x > 2 y > 0 and 2 log x - 2 y = log x + log y . Then the possible value s of x y, is 1 only, are 1 and 4, is 4 only, is 8 only

MARKS App · Accepted Answer

log x − 2 y 2 = log x y ⇒ x − 2 y 2 = x y ⇒ x − 2 y y 2 = x y ⇒ x y 2 − 5 x y + 4 = 0 ⇒ x y = 1 , 4 ⇒ x y = 4 as x y > 2

Search any question & find its solution

Looking for more such questions to practice?