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The image contains mathematical questions in Indonesian, focusing on logarithms and powers. Here is an analysis and solution for each question:

### Question 4
The question instructs to "convert to logarithmic form." The options are:
   - (a) \( 5^4 \)
   - (b) \( \sqrt[3]{64} \)
   - (c) \( 4^3 \cdot 4^3 : 4^4 \)
   - (d) \( 3^{\frac{9}{2}} : \sqrt{243} \)

**Solution**: 
To convert expressions into logarithmic form, we identify the powers and try to represent them as logarithmic equations. For example, if \( a^b = c \), the logarithmic form is \( \log_a c = b \).

Each answer needs individual conversion to logarithmic form.

### Question 5
This question says, "Look in the logarithmic table or use a calculator for the following logarithmic values":
   - (a) \( \log 9 \)
   - (b) \( \log 17 \)
   - (c) \( \log 5^8 \)
   - (d) \( \log 6 : 2 \)

**Solution**: 
Calculating each logarithmic value:
   - \( \log 9 = 2\log 3 \)
   - \( \log 5^8 = 8\log 5 \)
   - Division inside a logarithm \( \log \frac{6}{2} = \log 3 \).

### Question 6
This question states, "If \( x \) and \( y \) are each 100 and 50, calculate":
   - (a) \( \log xy \)
   - (b) \( \log \frac{x}{y} \)
   - (c) \( \log x^2 y \)
   - (d) \( \log x^2 \)

**Solution**: 
   - (a) \( \log xy = \log(100 \cdot 50) = \log 5000 \).
   - (b) \( \log \frac{x}{y} = \log \frac{100}{50} = \log 2 \).
   - (c) \( \log x^2 y = 2\log x + \log y \).
   - (d) \( \log x^2 = 2\log x \).

Would you like more detailed explanations for each solution? 

Here are 5 related questions to explore further:
1. What are the rules of logarithmic operations?
2. How can we simplify expressions involving powers and logarithms?
3. How do we calculate logarithms of values without a calculator?
4. What are some real-life applications of logarithms?
5. Why is understanding exponentials important in logarithmic problems?

**Tip**: Remember, converting between exponential and logarithmic forms requires knowing that \( a^b = c \) can be rewritten as \( \log_a c = b \).

Convert the following to logarithmic form, calculate given logarithmic values, and solve logarithmic problems based on given x and y values.

Explore logarithmic conversions and calculations, including problems on exponents and properties of logarithms. Suitable for students in Grades 9-11, this guide covers core logarithmic concepts with step-by-step solutions.

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