Question

if 27 raise to power x equals to 9 upon 3 raise to power x find x​

Answer 1

Solution:

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

$\implies (3^{3})^{x}=\frac{9}{3^{x}}$

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

$\implies 3^{3x+x}=3^{2}$

$\implies (3^{4x}=3^{2}$

$\boxed {If \: a^{m}=a^{n} \implies m=n}$

=>$4x=2$

=> $x = \frac{2}{4}$
=> $ x =\frac{1}{2}$
•••