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 * 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}`

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