To solve \( \log_a b \), this expression represents the logarithm of \( b \) to the base \( a \). Specifically, it asks, "To what power must \( a \) be raised to get \( b \)?"

The general formula for logarithms is:

\[
\log_a b = \frac{\ln b}{\ln a}
\]

Here, \( \ln \) is the natural logarithm (logarithm with base \( e \)).

### Example:
If \( \log_2 8 \) is the question, we are looking for the power to which 2 must be raised to get 8:

\[
\log_2 8 = 3 \quad \text{(since \( 2^3 = 8 \))}.
\]

Would you like a specific example or a different logarithmic expression solved? 

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Here are 5 related questions:
1. What is the value of \( \log_3 81 \)?
2. How do you solve \( \log_5 25 \)?
3. What is the result of \( \log_7 49 \)?
4. How do you calculate \( \log_{10} 1000 \)?
5. Can you solve \( \log_2 32 \)?

**Tip**: Logarithmic properties are useful for simplifying expressions, such as the power rule: \( \log_a (x^n) = n \log_a x \).

Explore how to solve the logarithmic expression log_a b using the change of base formula. Understand the fundamental concept of logarithms, including how to calculate the power needed to raise a base to get a specific value. This guide is ideal for students in Grades 9-12 looking to master logarithmic expressions.

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