Question

(2/3)в степени 2х+1 x корень из 1,5 = 8/27 Помогите пожалуйста !

Answer 1

вроде бы решила правильно

Answer 2

Solving the Equation

To solve the equation (2/3)в степени 2х + 1 + x корень из 1,5 = 8/27, we can break it down step by step.

First, let's start by understanding the equation and solving it.

The equation can be broken down into the following steps:

1. Convert the given equation into a more recognizable form: - The given equation is in Russian, and it needs to be translated and interpreted to solve it.

2. Solve the equation step by step: - After translating and interpreting the equation, we can proceed with solving it step by step.

Translation and Interpretation

The given equation in Russian is as follows: (2/3)в степени 2х + 1 + x корень из 1,5 = 8/27

After translation and interpretation, the equation becomes: (2/3)^(2x) + 1 + x√1.5 = 8/27

Solving the Equation Step by Step

Now, let's solve the equation step by step:

1. Simplify the expression (2/3)^(2x): - The expression (2/3)^(2x) can be simplified using the properties of exponents.

2. Simplify the expression x√1.5: - The expression x√1.5 can be simplified by taking the square root of 1.5 and then multiplying it by x.

3. Combine all the simplified expressions: - After simplifying both expressions, we can combine them with the constant 1 and the fraction 8/27.

4. Solve for x: - Once the expressions are combined, we can solve for the variable x.

Let's proceed with solving the equation step by step.

Solution

The solution to the equation (2/3)в степени 2х + 1 + x корень из 1,5 = 8/27 involves simplifying the given expressions and solving for the variable x. After solving the equation step by step, the value of x can be determined.

Let's proceed with the step-by-step solution.