Question

Find the value of x . (21/75)3x ( 21/75)3x=( 21/75)x-1

Answer 1

Answer: 41

Step-by-step explanation:

Let f(x)=x

25  (1−x)  75  ,xϵ[0,1]  ⇒f

′

(x)=25x

24

(1−x)

75

−75x

25

(1−x)

74

=25x

24

(1−x)

74

{(1−x)−3x}

=25x

24

(1−x)

74

(1−4x)

We can see that f

′

(x) is positive for x<

4

1

and f

′

(x) is negative for x>

4 1

.

Hence, f(x) attains maximum at x= 41