[tex] \sf \: {3}^{x} = 27[/tex]
Let's factorise 27 & break it down to prime factors (refer to the picture for the steps).
[tex] \sf \: 27 = 3 \times 3 \times 3 \\ \underline{ \sf 27 = {3}^{3} }[/tex]
We got -> 27 = 3³, it comes in the form of our question -> 27 = 3^x.
[tex] \sf \: 27 = {3}^{x} \\ \sf \: 27 = {3}^{3} \\ \rightarrow \: \boxed{\sf \: x = 3}[/tex]
¢αяσυѕєℓ :)
