Find-all-values-for-x-x-2-7x-11-x-2-13x-42-1-Easy-

Question Number 68935 by Maclaurin Stickker last updated on 17/Sep/19

F i n d a l l v a l u e s f o r x :

{(x^{2} - 7 x + 11)}^{x^{2} - 13 x + 42} = 1

(E a s y)

Answered by $@ty@m123 last updated on 17/Sep/19

x = 7, 6

x = 2, 5

(C a l c u l a t e d i n m i n d .)

Answered by Rasheed.Sindhi last updated on 17/Sep/19

E i t h e r b a s e = 1 O r e x p o n e n t = 0

{(x^{2} - 7 x + 11)}^{x^{2} - 13 x + 42} = 1

x^{2} - 7 x + 11 = 1 ∣ x^{2} - 13 x + 42 = 0

x^{2} - 7 x + 10 = 0 ∣ (x - 6) (x - 7) = 0

(x - 2) (x - 5) = 0 ∣ x = 6, 7

x = 2, 5