Question

Quanto é 9^x-2=√27 ?

Answer 1

  x - 2
9         =   √27

  2(x - 2)
3           =   √3³
 
   2x - 4        3/2
3           =  3

2x - 4 = 3
             2

2(2x - 4) = 3
4x - 8 = 3
4x = 3 + 8
4x = 11
x = 11/4

Answer 2

$9^{x-2} = \sqrt{27} \\ \\ ( 3^{2} )^{x-2} = \sqrt{3^{3} } \\ \\ 3^{2x-4} = 3^{ \frac{3}{2} } \\ \\ 2x-4= \frac{3}{2} \\ \\ 4x-8=3 \\ \\ 4x=3+8 \\ \\ 4x=11 \\ \\ x= \frac{11}{4}$