Question

If A is the solution set of the equation
log, 2 . log2x 2 = log1, 2 and B is the solution set of the
equation x^logx(3-x) ^2 =
25, then n(AUB) is equal to
?​

Answer 1

Answer:

Solution

Correct option is

B

2−2

C

22

Given, logx2.log2x2.log2x2=log4x2

⇒log2x1.log22x1=log24x1  [∵logax=logxa1]

log2x(log22+log2x)=log24+log2x  [∵logab=loga+logb]