Question

3^(x−1) = 27
I need the answer please and thanks

Answer 1

Make 27 into 3^3, then since the bases are the same, solve (x-1) = 3. The answer is 4.

Answer 2

x=2

Explanation:

For the given equation

`3^(x-1)=27`

To find the value of x which is in power of base 3, make the base of R.H.S also 3

Making 27 in the power of three will be written as: 27=
`3^3`

So,

`3^(x-1)=3^3`

Now, we have same base on both the sides, so we can equate their powers of R.H.S and L.H.S.

`x-1=3\\x=3-1\\x=2`

So, for the equation, the value of x is 2