How do you solve 3^(x-1)= 27/3^x?

1 Answer
Jun 7, 2016

We can use the laws of exponents and simplify to get the answer.
Answer : x = 2

Explanation:

3^(x-1) = 27/ (3^x)

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

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

As the bases are equal, we can equate the exponents.

x - 1 = 3 - x

x + x = 3 + 1

2x = 4

x = 2