Question

The number of solutions of the equation
x logx (1-x)2= 25 is​

Answer 1

Step-by-step explanation:

Given The number of solutions of the equation

x logx (1-x)2= 25 is

• We need to find the solution for the equation  
•          x^log (1 – x)^2 base x = 25
• By the property of log we have
•          So b^log a base b = a
• Applying this we get  
•            (1 – x)^2 = 25
• So using (a – b)^2 = a^2 – 2ab + b^2 we get
•              1 – 2x + x^2 = 25
•               x^2 – 2x = 24
•                x^2 – 2x – 24 = 0
•              x^2 – 6x + 4x – 24 = 0
•              x(x – 6) + 4(x – 6) = 0
•                (x – 6) (x + 4) = 0
•                 x = (6,-4)
• So the solution will be x = 6, - 4

Reference link will be

https://brainly.in/question/5041251

Answer 2

Answer:

X=6,-4...

hope it helps you