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

User Sorin C
by
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2 Answers

4 votes
Make 27 into 3^3, then since the bases are the same, solve (x-1) = 3. The answer is 4.
User Dllewellyn
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7.2k points
5 votes

Answer:

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

User Jungwon
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6.5k points