Question

Как решить:2 в степени икс минус пять умноженная на два в степени икс минус четыре равно одинадцать

Answer 1

2^x-5 *2^x-4=11
2^2x-9=11
2x-9=log(2)11
2x=9+log(2)11
x=4,5+1/2log(2)11=4,5+log(2)√11

Answer 2

Solving the Equation 2^x - 5 * 2^x - 4 = 11

To solve the equation 2^x - 5 * 2^x - 4 = 11, we can follow these steps:

1. Combine Like Terms: Combine the terms with the same base, in this case, 2^x.

2. Simplify the Equation: Once the like terms are combined, simplify the equation to isolate the variable x.

3. Solve for x: After simplifying, solve for the variable x to find its value.

Let's go through these steps to solve the given equation.

Step 1: Combine Like Terms

The given equation is 2^x - 5 * 2^x - 4 = 11. We can combine the terms with the same base, 2^x.

The equation becomes: (1 - 5) * 2^x - 4 = 11

Step 2: Simplify the Equation

Simplify the equation further: -4 * 2^x - 4 = 11

Step 3: Solve for x

Now, we can solve for x by isolating the term with 2^x.

-4 * 2^x = 11 + 4

-4 * 2^x = 15

Conclusion

The equation -4 * 2^x = 15 is a transcendental equation, and its solution involves the use of numerical or graphical methods. The exact value of x cannot be determined algebraically.

If you need further assistance with solving transcendental equations or understanding the methods to approximate their solutions, feel free to ask for more details.