Question

27^x=9÷3^x
find x good luck

Answer 1

$Given : 27^x = \frac{9}{3^x}$

$= > (3^3)^x = 9 * 3^{-x}$

$= > 3^{3x} = (3)^2 * 3^{-x}$

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

$= > 3x = 2 - x$

$= > 4x = 2$

$= > x = \frac{2}{4}$

$= > \boxed{x = \frac{1}{2}}$

Hope this helps!

Answer 2

Hello!!!

${27}^{x} = 9 \div {3}^{x}$

${27}^{x \: } \times \: {3}^{x} = 9$

${81}^{x} \: = 9$

We can write it as,

${9}^{(2)x} \: = {9}^{1}$

On equating,

=>2x=1

=>x=1/2.

Hope it helps:)