Respuesta :

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

Answer:

x=2

Step-by-step explanation:

For the given equation

[tex]3^(x-1)=27[/tex]

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= [tex]3^3[/tex]

So,                    

                                        [tex]3^(x-1)=3^3[/tex]

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

                                            [tex]x-1=3\\x=3-1\\x=2[/tex]

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

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