Question

if 5 power x-1 equals to 2 power 1 - X find the value of x​

Answer 1

x+1/x = 5 , squaring both sides we get x^2 + 1/x^3= 8,

(x+1/x)^2 = 25

(x+1/x)^3 = 125

x^2=8-1/x^3

8-1/x^3+1/x^2=23

x^3+1/x^3+3x+3/x=125

x^3+1/x^3= 125-39x+1/x)=125-15=110

1/x^3=110-x^3

8+x^3-110+1/x^2=23

x^3+1/x^2=125  pls can u make me brain least