Question

If 9^x × 3² × (3^–x/2)^–2 = 1/27, find x.

Answer 1

$\large{HEY MATE}$

$\underline{Here.is.your.Answer}$

$\underline{Kindly .refer .to .the. given .attachment}$

$\boxed{Hope.it.helps}$

$\underline{Please. mark.as.Brainliest }$

Answer 2

Answer:

$x=\frac{-5}{3}$

Step-by-step explanation:

The given equation is:

$9^{x}{\times}3^{2}{\times}(3^{\frac{-x}{2}})^{-2}=\frac{1}{27}$,

It can be written as:

$3^{2x}{\times}3^{2}{\times}3^{x}=3^{-3}$

$3^{2x+2+x}=3^{-3}$

$3^{3x+2}=3^{-3}$

Now, since the bases are same, then comparing the powers, we get

$3x+2=-3$

$x=\frac{-5}{3}$