Question

3^(x−1) = 27 please and thank you in advance

Answer 1

Answer: x=10

Step-by-step explanation:

Basically you will first have to 3^(x-1). It's just x-1 but repeated 3 times:

x-1+x-1+x-1=27 now, combine like terms:

x+x+x-1-1-1=27 ---> 3x-3=27 Get 3x by itself by adding 3 to -3 and 27:

3x-3+3=27+3

3x=30 Now Divide.

3x/3=30/3

x=10

Answer 2

Answer: $x = 4$

Step-by-step explanation:

Given :

$3^{x-1} = 27$

27 can also be written in index form , so the equation becomes

$3^{x-1} = 3^{3}$

since they have the same base , we will equate their power , that is

$x - 1 = 3$

$x = 4$