Question

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

Answer 1

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

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

$\sf \: 27 = 3 \times 3 \times 3 \\ \underline{ \sf 27 = {3}^{3} }$

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

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

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