It seems like I can’t do more advanced data analysis right now. Please try again later. If you need anything else or have any questions, feel free to ask! 

Here are some related questions you might consider in the meantime:

1. How does the slope of the graph change with different logarithmic bases?
2. What does the negative slope indicate in terms of the relationship between \(x\) and \(y\)?
3. How would the graph look if the logarithm were of a different base, such as \( \log_2 \) or \( \ln \)?
4. How can you calculate the exact value of \( \log(\frac{1}{3}) \)?
5. How would the graph change if the logarithm's argument were a fraction greater than 1?
6. Can you manually sketch the graph based on the function's characteristics?
7. How would the graph shift if the equation had an additional constant term added to it?
8. What would be the intercept of the graph on the y-axis?

**Tip:** Understanding the basic shape and direction of logarithmic graphs can help in sketching them without needing to plot every point.

Explore logarithmic graphs and their properties with detailed explanations and examples. Learn about logarithm base changes, slope interpretations, and graphical transformations. Helpful for high school students studying logarithmic functions.

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