Question

2х9^х-17х3^х=9решите пж

Answer 1

Решение внизу.смотрите фото.

Answer 2

To solve the equation 2x * 9^x - 17 * x * 3^x = 9, we'll follow these steps:

Step 1: Factorize the equation. Step 2: Solve for 'x' using numerical methods (since it's a transcendental equation).

Let's proceed with the solution:

Step 1: Factorize the equation: 2x * 9^x - 17 * x * 3^x = 9

First, let's factor out the common term 'x' and then divide both sides by '9^x': x * (2 * 9^x - 17 * 3^x) = 9 / 9^x

Step 2: Solve for 'x' numerically: At this point, it is not possible to find an exact algebraic solution for 'x'. We'll use numerical methods to approximate the solution. Let's solve this equation using a graphing calculator or a numerical solver.

By graphing the left-hand side (LHS) and right-hand side (RHS) of the equation separately and finding their intersection point(s), we can approximate the solutions. You can also use online tools or software like Wolfram Alpha or Python libraries like 'SymPy' or 'SciPy' to find numerical solutions.

Note: Keep in mind that the equation might have multiple solutions or none at all, depending on the values of 'x'.

If you have specific values for 'x' in mind or need further assistance, please provide additional information, and I'll be happy to help!