Express as a product. \[ \ln \sqrt[3]{4} \]

Step 1 ：The natural logarithm of a number can be expressed as the product of the logarithm of the base and the logarithm of the number. In this case, the base is e (approximately 2.71828), and the number is the cube root of 4.

Step 2 ：We can use the property of logarithms that states that the logarithm of a root is equal to the root of the logarithm. Therefore, we can express the given expression as a product of 1/3 and the natural logarithm of 4.

Step 3 ：Calculate the natural logarithm of 4, which is approximately 1.3862943611198906.

Step 4 ：Calculate the product of 1/3 and the natural logarithm of 4, which is approximately 0.46209812037329684.

Step 5 ：The expression \( \ln \sqrt[3]{4} \) can be expressed as a product as \( \frac{1}{3} \ln 4 \). The numerical value of this product is approximately 0.462.

Step 6 ：Final Answer: \(\boxed{0.462}\)