Question

Решить уравнение (⅓)5x-5=81

Answer 1

1/3 ×5х-5=81

5/3 х=81+5

5х=86×3

х=258÷5=51 3/5

Answer 2

To solve the equation (1/3)^(5x-5) = 81, follow these steps:

Step 1: Express 81 as a power of 1/3. Step 2: Set the exponents equal to each other and solve for x.

Step 1: Express 81 as a power of 1/3. 81 can be written as 3^4, so (1/3)^4 = 81.

Step 2: Set the exponents equal to each other and solve for x. We have: (1/3)^(5x-5) = (1/3)^4

Now, since the bases are the same, we can equate the exponents: 5x - 5 = 4

Next, isolate x by adding 5 to both sides of the equation: 5x = 4 + 5 5x = 9

Finally, divide both sides by 5 to solve for x: x = 9 / 5 x = 1.8

So, the solution to the equation is x = 1.8.