To plot the number 0.0046 on the log scale, we need to express it in terms of powers of 10.

1. Convert 0.0046 to scientific notation:
   $0.0046 = 4.6 \times 10^{-3}$.

2. Identify the position on the scale:
   Since $4.6 \times 10^{-3}$ is close to $10^{-3}$, it will be a little less than halfway between $10^{-3}$ and $10^{-2}$.

On the provided scale, locate the point slightly less than halfway between $10^{-3}$ and $10^{-2}$ to plot 0.0046 accurately.

Would you like more details or have any questions on this topic?

Here are five related questions to expand your understanding:

1. What is the difference between linear and logarithmic scales?
2. How would you plot a number like 0.00046 on this log scale?
3. Why is scientific notation useful when working with log scales?
4. How do you interpret negative exponents on a log scale?
5. How would you determine the exact position for values that don’t match powers of ten?

Tip: When plotting on a log scale, remember that each step represents a power of 10, making it easier to handle a wide range of values.