Question

(1/13)^х+11 =13^х Помогите решить показательные уравнения!!! Очень срочно!!!!"

Answer 1

Х+11=-1
х=-12
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Answer 2

Solving Exponential Equations

To solve the equation (1/13)^x + 11 = 13^x, we need to find the value of x that satisfies the equation. Let's go through the steps to solve this exponential equation.

1. Start by isolating one of the exponential terms on one side of the equation. In this case, let's isolate the term with (1/13)^x:

(1/13)^x = 13^x - 11

2. Next, we can rewrite the equation using the reciprocal property of exponents. The reciprocal of (1/13)^x is 13^(-x):

13^(-x) = 13^x - 11

3. Now, we have two exponential terms with the same base, 13. Since the bases are the same, we can equate the exponents:

-x = x - 11

4. Simplify the equation by combining like terms:

-2x = -11

5. Divide both sides of the equation by -2 to solve for x:

x = -11 / -2

Simplifying further, we get:

x = 11/2

Therefore, the solution to the equation (1/13)^x + 11 = 13^x is x = 11/2.

Please note that this solution is based on the given equation and the mathematical steps involved in solving it.