Radio signals travel at a rate of 3 x 10^8 meters per second. how many seconds would it take for a radio signal to travel from a satellite to the surface of earth if the satellite is orbiting at a height of 9.6 x 10^6 meters? (hint: time is distance divided by speed)

a. 3.2 x 10^2 seconds
b. 3.2 x 10^-2 seconds
c. 3.13 x 10^1 seconds
d. 2.88 x 10^15 seconds

B. 3.2 x 10^-2 seconds

Step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: