Question

find the coordinates of point c in the base ten semi - log plot below (assume x - values are whole numbers). express all coordinates in standard form.

Explanation:

Step1: Identify x-coordinate

The x-axis is linear, and point C aligns with the whole number 12 on the horizontal axis.

Step2: Identify y-coordinate

The y-axis is base-10 logarithmic. Point C is at the 7th small tick above 1, between 1 and 10. Each small tick represents a factor of $10^{0.1}$, so the value is $10^{0+0.7}=10^{0.7} \approx 5.01$.

Answer:

$(12, 5.01)$