Question

3^x-1=27

Answer 1

3 в степени x-1 = 3 в степени 3; x-1=3; x=4

Answer 2

To solve the equation 3^(x-1) = 27, we need to rewrite both sides of the equation with the same base.

We know that 27 can be written as 3^3. Therefore, the equation becomes:

3^(x-1) = 3^3

Now, since the bases are the same (3), we can equate the exponents:

x - 1 = 3

To isolate x, we can add 1 to both sides of the equation:

x = 3 + 1

x = 4

So the solution to the equation 3^(x-1) = 27 is x = 4.