Log y= 2.5 log x + 0.477
[-50,50] steps of 10  give me values of corresponding log y

Here are the corresponding values of \( \log y \) for \( y = 2.5 \log x + 0.477 \) where \( x \) is in the range \([-50, 50]\) with steps of 10, but only for the positive \( x \) values:

1. \( x = 10 \), \( \log y = 2.977 \)
2. \( x = 20 \), \( \log y = 3.730 \)
3. \( x = 30 \), \( \log y = 4.170 \)
4. \( x = 40 \), \( \log y = 4.482 \)
5. \( x = 50 \), \( \log y = 4.724 \)

Since logarithms are undefined for non-positive values of \( x \), the values are only calculated for positive \( x \).

Would you like more details or have any questions?

Here are five related questions for further exploration:
1. How would the graph of \( \log y \) versus \( x \) look for this function?
2. What happens to \( y \) as \( x \) approaches zero from the positive side?
3. How would the function change if the coefficient 2.5 was increased?
4. What would happen to the results if the constant 0.477 was negative?
5. Can you find the inverse of the given function?

**Tip:** When working with logarithmic functions, remember that they are only defined for positive arguments.

Explore how to calculate logarithmic values for the equation y = 2.5 log x + 0.477, specifically for positive x values in the range [-50, 50]. Understand the logarithmic function, its application in solving equations, and more. Suitable for high school students and anyone interested in logarithmic functions.

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