Question

If 27^x =9/3^x,prove that x=1/2

Answer 1

Step-by-step explanation:

27^x=3^2/3^x

lhs=3^(2-x)

27=3^3x

so then

3x=2-x

4x=2

so x=1/2

if you still have any doubts contact me;)

have a nice day ahead

Answer 2

$\huge\boxed{\fcolorbox{white}{pink}{Answer}}$

$\Large\boxed{27^x=3^2/3^x}$

==>. Rhs = 3^(2-x)

==>. Lhs. = 3^3x

on comparison we get,

==>. 2 - x = 3x

==>. 4x = 2

$\Large\boxed{x=1/2}$

I hope it helps u...☺️