Respuesta :
Answer:
The value of x is, [tex]\frac{3}{4}[/tex]
Explanation:
Given:
The exponential equation [tex]9^{2x} =27[/tex] ....[1]
Exponential Identities:
[tex](x^a) =x^{ab}[/tex]
we can write equation [1] as;
[tex](3^2)^{2x} = 3^3[/tex] [ [tex]3 \times 3= 9 , 3 \times 3 \times 3 = 27 [/tex] we can rewrite as [tex]3^2 =9 , 3^3 =27[/tex]]
by using above identities, we have
[tex](3)^{4x} = 3^3[/tex] then,
[tex]4x =3[/tex] [ if [tex]x^a =x^b[/tex] then a =b]
Simplify:
[tex]x = \frac{3}{4}[/tex]
