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We want to solve the following equation.

2^(x)=2+3x
One of the solutions is
x~~3.7.
Find the other solution.
Hint: Use a graphing calculator.
Round your answer to the nearest tenth.

x~~

We want to solve the following equation. $\newline$ $2^{x}=2+3 x$ $\newline$ One of the solutions is $x \approx 3.7$ . $\newline$ Find the other solution. $\newline$ Hint: Use a graphing calculator. $\newline$ Round your answer to the nearest tenth. $\newline$ $x \approx$

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Solve polynomial equations

Full solution

Q. We want to solve the following equation.

\newline

2^{x}=2+3 x

\newline

One of the solutions is

x \approx 3.7

.

\newline

Find the other solution.

\newline

Hint: Use a graphing calculator.

\newline

Round your answer to the nearest tenth.

\newline

x \approx

Understand Equation Complexity: First, we need to understand that the equation $2^{x} = 2 + 3x$ is not one that can be easily solved algebraically due to the presence of both an exponential and a linear term. Therefore, we will use a graphing calculator to find the solution.
Graph Two Functions: Using a graphing calculator, we graph the two functions $y = 2^{x}$ and $y = 2 + 3x$ . We are looking for the points where these two graphs intersect, which represent the solutions to the equation.
Identify Intersection Points: We already know one intersection point, which is approximately $x \approx 3.7$ . Now we need to find the other point of intersection. We can do this by observing the graph and using the calculator's function to find the intersection point.
Find Solutions: After using the graphing calculator's intersection function, we find that the other solution is approximately $x \approx -0.8$ . We round this to the nearest tenth as the problem instructs.

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