Question

find x if 9 to the power x is equal to 1 by 27 to the power x​

Answer 1

x=-3/2

hope it helps ☺☺

Answer 2

Answer:

-3/2

Step-by-step explanation:

$9^x = \dfrac{1}{27}$

Rewrite both numbers as a exponent of 3:

$3^{2x} = \dfrac{1}{3^3}$

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

Since both the numbers are the same, the exponents are also the same:

$2x = -3$

$x = -\dfrac{3}{2}$

Answer: x = -3/2