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7. solve $e^{3x}=48$options:1.6191.4521.3371.290clear all

Question

  1. solve $e^{3x}=48$options:1.6191.4521.3371.290clear all

Explanation:

Step1: Take natural log of both sides

$\ln(e^{3x}) = \ln(48)$

Step2: Simplify left side using log rule

$3x = \ln(48)$

Step3: Isolate x, solve for value

$x = \frac{\ln(48)}{3} \approx \frac{3.8712}{3} \approx 1.290$

Answer:

1.290