Question

question 12 solve for ( x ). round answers to four decimal places. ( 6ln(x + 3) = 12 ) question help: video submit question

Explanation:

Step1: Isolate the natural log term

Divide both sides by 6:
$\ln(x+3) = \frac{12}{6} = 2$

Step2: Convert to exponential form

Use $e^{\ln(a)}=a$ to eliminate $\ln$:
$x+3 = e^2$

Step3: Solve for x

Subtract 3 from both sides:
$x = e^2 - 3$

Step4: Calculate and round

Compute $e^2\approx7.389056$, then subtract 3:
$x\approx7.389056 - 3 = 4.389056$
Round to 4 decimal places.

Answer:

4.3891