Question

solve: (3 ln x = ln 216)

• (x = 3)
• (x = 6)
• (x = 72)

Explanation:

⚡ Using what you learned: Logarithms and Exponential Equations

Step 1: Apply the power property of logarithms

$$ \ln(x^3) = \ln(216) $$

Step 2: Equate the arguments

$$ x^3 = 216 $$

Step 3: Solve for \( x \)

$$ x = \sqrt[3]{216} $$

$$ x = 6 $$

Answer:

\( x = 6 \)