Question

2^(3x+10)-3^(3x+9)+3^(3x+7)+2^(3x+9)=0

Answer 1

(3х+9)(6х+20х-3+3+6х+18)=0 (3х+9)(32х+18)=0 3х+9=0 или 32х+18=0 3х=-9 х1=-3 32х+18=0 32х=-18 х= -0,56 Ответ : -3 ; -0.56

Answer 2

Solving the equation $2^{3x+10} - 3^{3x+9} + 3^{3x+7} + 2^{3x+9} = 0$ for $x$ involves simplifying the equation and then finding the value of $x$ that satisfies it. Unfortunately, this equation does not have a straightforward analytical solution, and you'll likely need to use numerical methods or a graphing calculator to approximate the value of $x$.

Here's how you can proceed using numerical methods:

1. Start with an initial guess for $x$. This could be any reasonable value, such as $x = 0$, $x = 1$, or $x = -1$, depending on the context of the problem.

2. Use an iterative numerical method, such as the Newton-Raphson method or a calculator that can handle equations like this one, to refine your estimate of $x$.

3. Keep iterating until you find a value of $x$ that makes the equation approximately equal to zero.

Numerical methods can be computationally intensive, and the equation you provided does not have a simple closed-form solution. Therefore, using a numerical approach is the most practical way to find an approximate value of $x$ that satisfies the equation.