**How Will This Worksheet on "Rewrite Expression Using Change of Base Formula" Benefit Your Student's Learning?**

- It helps manage logarithms in different types of math problems and situations.
- Simplifies logarithmic expressions by changing them to a base that's easier to handle.
- Improves skills in handling algebra and understanding how logarithms behave.
- Helps accurately calculate and analyze growth, decay, and other logarithmic functions in math and science.

**How to Rewrite Expression Using Change of Base Formula?**

- Start with the given logarithmic expression in a specific base, such as \( \log_b M \).
- Use the formula `\log_b M = \frac{\log_c M}{\log_c b}`, where \( c \) can be any base different from \( b \).
- Select \( c \) as a base convenient for the calculation or context, often base `10` (common logarithms) or base `2` (binary logarithms).
- Substitute the values of \( b \), \( M \), and \( c \) into the formula and simplify if necessary, ensuring the expression of the result clearly in terms of the new base \( c \).