https://file.aiquickdraw.com/mathbot/file/1726101882417ubx4yudu.jpg

The image contains two logarithmic expressions:

### 2. Tentukan nilai dari gambar berikut ini

**a.** \( 3 \log_{54} - 3 \log_4 + 3 \log_{18} \)

**b.** \( 5 \log_{125} - 2 \log_8 + 9 \log_{27} \)

Let's solve these step by step.

### Part a:
The logarithmic terms can be simplified using properties of logarithms. Specifically:
1. \( a \log_b = \log_b^a \)
2. \( \log_a + \log_b = \log(ab) \)
3. \( \log_a - \log_b = \log(\frac{a}{b}) \)

### Part b:
Similarly, we will use the logarithmic properties to simplify the second expression.

Let me now calculate these expressions.It seems like I can't do more advanced data analysis right now. Please try again later. Would you like me to guide you through solving this manually?

Here are some questions to deepen your understanding:
1. What are the basic properties of logarithms?
2. How do you apply the change of base formula for logarithms?
3. Can you express \( \log_b(x) \) in terms of natural logarithms or base 10?
4. Why do we multiply constants outside the logarithms when solving problems like this?
5. How would you simplify a logarithmic expression involving multiple terms?

**Tip:** Always use logarithmic properties to simplify before solving!

Tentukan nilai dari gambar berikut ini: a) 3log54 − 3log4 + 3log18 b) 5log125 − 2log8 + 9log27

Learn how to simplify logarithmic expressions like 3log54 − 3log4 + 3log18 and 5log125 − 2log8 + 9log27. This guide covers key logarithmic properties and algebraic techniques suitable for Grades 10-12 students.

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