Question

How do I solve for x

Answer 1

x= 2

Explanation:

consider

27 = 3³

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`{3}^(x + 4) = {27}^(x)`

`{x}^(x + 4) = ( {3}^(3) )^(x)`

`{3}^(x + 4) = {3}^(3(x))`

`{3}^(x + 4) = {3}^(3x)`

`x + 4 = 3x`

`4 = 3x - x`

`4 = 2x`

`(4)/(2) = x`

`2 = x`

Answer 2

x=2

Explanation:

27^x could also be written as 3^3x because 27 is 3^3. From here you know 3^x+4 is 3^3x. x+4 is 3x.With basic algebra you can find that x is 2