Math Quiz

left-handed : 3200*2/5 = 1280

left-handed and blue eyes : 1280*1/4 = 320

left_handed , blue eyes women : 320*5/8 = 200 out of a total of 3200.




solve for x:

x = 2^x

For x < 0 ,

LHS is negative but RHS is positive.

For x = 0 ,

LHS is 0 but RHS is 2^0 = 1.

For o < x < 1,

LHS is < 1 but RHS is > 1

For x >= 1 ,

LHS < RHS.

Therefore the equation x = 2^x has no real roots.

But ln e , 2^e , ln 2 are real numbers ,

so the answer is D none of these is correct

Method 2 :


ln e = 2^ ln e......... ??
1 = 2^1 .......... ??
A is wrong

2^e = 2^ (2^e)......... ??
e = 2^e .......... ??
B is wrong

ln 2 = 2^ ln 2...........?
0.69...(< 1) = 2 ^ 0.69...(> 1).......??
C is wrong

The answer is D