Question

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

Answer 1

Answer:

x=2

Step-by-step 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

Answer 2

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