Question

3^2-x=81

Answer 1

3^(2-x)=81

3^(2-x)=3^4

2-x=4

x=-2

Ответ: х=-2

Answer 2

To solve the equation 3^(2 - x) = 81, we can start by simplifying both sides of the equation.

On the right side, 81 can be expressed as 3^4 since 3^4 = 81.

So, we have:

3^(2 - x) = 3^4

Now, since the bases (3) are the same on both sides of the equation, we can equate the exponents:

2 - x = 4

To isolate x, we can subtract 2 from both sides of the equation:

2 - x - 2 = 4 - 2

-x = 2

To solve for x, we multiply both sides of the equation by -1 (or you can also multiply by (-1) on both sides):

(-1) * (-x) = 2 * (-1)

x = -2

Therefore, the solution to the equation 3^(2 - x) = 81 is x = -2.