Questions: Solve the logarithmic equation symbolically. 3 ln x=4 A. x=e^(4 / 3) B. x=12 e C. x=e^1 D. x=(e^4)/3

Solution Steps

To solve the logarithmic equation \(3 \ln x = 4\), we need to isolate \(x\). First, divide both sides by 3 to get \(\ln x = \frac{4}{3}\). Then, exponentiate both sides using the base \(e\) to solve for \(x\).

Start with the equation: \[ 3 \ln x = 4 \]

Divide both sides by 3 to isolate the logarithm: \[ \ln x = \frac{4}{3} \]

Exponentiate both sides using base \(e\) to solve for \(x\): \[ x = e^{\frac{4}{3}} \]

Final Answer