Solve the equation.

Question

Solve the equation.

 

  x      x - 1

3   = 9                

 

x =? 

 

(type an integer or an simplified fraction)

Answer 1

 3 ^X = 9 ^{X -1}

 

 

 3 ^X = 3 ^{2( X - 1)}

 

   X = 2X - 2

 

    2X - X =2 

 

      X =2

 

 

    Test:

 

      3 ² =  9 ^{(2 -1)}

 

       9   = 9    Check