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### Question 1:
**Expression:** \(\ln(x(x+4)(x+8))\)

Using the laws of logarithms:
1. Expand the natural log: 
   \[
   \ln(x(x+4)(x+8)) = \ln(x) + \ln(x+4) + \ln(x+8)
   \]

This is the simplified expanded form.

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### Question 2:
**Equation:** \(\log_3(x) = 2\)

Using the definition of logarithms:
\[
x = 3^2 = 9
\]

Thus, \(x = 9\).

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Would you like a detailed step-by-step breakdown of either solution? Here are 5 related questions to expand your understanding:

1. How can you use the logarithmic laws to condense an expression?
2. What are the steps to solve logarithmic equations like \(\log_b(x) = y\)?
3. How do logarithms relate to exponential functions?
4. How can you apply the change of base formula for logarithms?
5. What are the common properties of natural logarithms?

**Tip:** Always verify the domain of logarithmic functions to ensure arguments are positive!

Use the laws of logarithms to expand and simplify the expression ln(x(x + 4)(x + 8)). Also, solve the equation log3(x) = 2 using the laws of logarithms.

Learn how to expand and simplify the logarithmic expression ln(x(x + 4)(x + 8)) using the properties of logarithms and solve the equation log3(x) = 2 step-by-step. Perfect for high school students studying logarithms and exponential equations.

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