Question

The wind speed near the center of a tornado is represented by the equation S=93logd+65, where d is the distance, in miles, that the tornado travels and S is the wind speed, in miles per hour.

If the wind speed was 150 miles per hour, how many miles did the tornado travel? Round your answer to the nearest tenth.

Answer 1

Step-by-step explanation:

please, be careful when writing the problem definition.

the formula is as I understand it from the definition

S = 93×log(d) + 65

with log being truly the logarithm to the base 10.

so, we have

150 = 93×log(d) + 65

85 = 93×log(d)

log(d) = 85/93

d = 10^(85/93) = 10^(0.913978495...) =

= 8.203109232... ≈ 8.2 miles

the tornado had traveled 8.2 miles.

Answer 2

8.2 miles :)
hope this helped