Question

6^(15+х) = 1/36 6 в степени (15+х) = 1/36

Answer 1

Вот ответ. х= - 17. Нужно было просто довести до одинаковых оснований.

Answer 2

To solve the equation 6^(15+х) = 1/36, we can follow these steps:

Step 1: Express both sides with the same base. Step 2: Set the exponents equal to each other. Step 3: Solve for 'x.'

Let's start with step 1:

1. Express both sides with the same base (6):

Since 1/36 can be expressed as 6^(-2) (because 6^(-2) = 1 / 6^2 = 1 / 36), the equation becomes:

6^(15 + х) = 6^(-2)

Now, move on to step 2:

2. Set the exponents equal to each other:

15 + х = -2

Finally, go to step 3:

3. Solve for 'x':

Subtract 15 from both sides to isolate 'x':

х = -2 - 15

х = -17

So, the value of 'x' that satisfies the equation is -17.