1) To simplify the equation, we can divide both sides by x^x-1:
Simplify: c = C
So, the equation simplifies to c = C.
2) (n+1)! / n! = 5
(n+1)! = 5n!
Since (n+1)! = (n+1) * n!, we can distribute on the left side:
(n+1) * n! = 5n!
Simplify further by dividing both sides by n!:
n+1 = 5
Therefore, the solution to the equation is n = 4.
1) To simplify the equation, we can divide both sides by x^x-1:
Simplify: c = C
So, the equation simplifies to c = C.
2) (n+1)! / n! = 5
(n+1)! = 5n!
Since (n+1)! = (n+1) * n!, we can distribute on the left side:
(n+1) * n! = 5n!
Simplify further by dividing both sides by n!:
n+1 = 5
Therefore, the solution to the equation is n = 4.