Question

question 13 · 1 point solve $5e^{6x} = 23$. round your answer to the nearest tenth. do not include \$x =$\ in your answer. provide your answer below:

Explanation:

Step1: Isolate the exponential term

Divide both sides by 5: $e^{6x} = \frac{23}{5} = 4.6$

Step2: Take natural log of both sides

$\ln(e^{6x}) = \ln(4.6)$ → $6x = \ln(4.6)$

Step3: Solve for x

$x = \frac{\ln(4.6)}{6}$. Calculate $\ln(4.6) ≈ 1.52606$, so $x ≈ \frac{1.52606}{6} ≈ 0.25434$

Step4: Round to nearest tenth

0.25434 rounded to nearest tenth is 0.3

Answer:

0.3