The problem asks us to solve for $x$ in the equation $\ln(2x+5) = 2.3$ by writing the equation in exponential form and rounding the answer to three decimal places.

1. Problem Description

The problem asks us to solve for $x$ in the equation $\ln(2x+5) = 2.3$ by writing the equation in exponential form and rounding the answer to three decimal places.

2. Solution Steps

We start with the given equation:

$\ln(2x+5) = 2.3$

Since $\ln$ is the natural logarithm (base $e$), we can rewrite the equation in exponential form:

$e^{2.3} = 2x+5$

Now we solve for $x$:

$e^{2.3} \approx 9.974182455$

$9.974182455 = 2x + 5$

$9.974182455 - 5 = 2x$

$4.974182455 = 2x$

$x = \frac{4.974182455}{2}$

$x \approx 2.487091228$

Rounding to three decimal places, we get $x \approx 2.487$.

3. Final Answer

$x = 2.487$