Question

Sum of values of x satisfying maximum {ex, e–x} = 8 is , then equals (where [·] represents the greatest integer function)​

Answer 1

Answer:

Step-by-step explanation:

Given:

A function {ex, e–x} = 8

To find:

Sum of values of x satisfying maximum {ex, e–x} = 8 is , then equals (where [·] represents the greatest integer function)

Solution:

From given, we have,

A function {ex, e–x} = 8

Now consider,

e^{-x} = 8

⇒ -x = ln 8

∴ x = - ln 8  .....(1)

Now consider,

e^{x'} = 8

∴ x' = ln 8  .........(2)

adding (1) and (2), we get,

x + x' = - ln 8 + ln 8

∴ x + x' = 0

Therefore, the sum of values of x satisfying maximum {ex, e–x} = 8 is 0