How do i do 3^x=27??????????????????

Question

asked Nov 20, 2022 132k views

1 Answer

Frederik Kammer · Answer 1 · 2022-11-25T04:03:15+0000

$\sf \: {3}^(x) = 27$

Let's factorise 27 & break it down to prime factors (refer to the picture for the steps).

$\sf \: 27 = 3 * 3 * 3 \\ \underline{ \sf 27 = {3}^(3) }$

We got -> 27 = 3³, it comes in the form of our question -> 27 = 3^x.

$\sf \: 27 = {3}^(x) \\ \sf \: 27 = {3}^(3) \\ \rightarrow \: \boxed{\sf \: x = 3}$

¢αяσυѕєℓ :)