Find the solution of the exponential equation \( 17 e^{x}-19=4 \) in terms of logarithms, or correct to four decimal places. \( x=\square \)

To solve the equation \( 17 e^{x} - 19 = 4 \), we start by isolating the exponential term. First, add 19 to both sides: \[ 17 e^{x} = 23 \] Next, divide both sides by 17: \[ e^{x} = \frac{23}{17} \] Now, apply the natural logarithm to both sides to solve for \( x \): \[ x = \ln\left(\frac{23}{17}\right) \] Now, calculating \( x \) using a calculator gives: \[ x \approx 0.3347 \] So the solution rounded to four decimal places is: \[ x \approx 0.3347 \]