If jana drives 6 hours at a speed of 60 miles/hour and 9 hours at a speed of 62 miles/hour, what is her average speed in miles/hour during her 15 hours of driving? a) 51.20 b) 58.46 c) 61.20 d) 64.30

c) (61.20)

Step-by-step explanation:

6*60=360

9*62=558

6+9=15

360+558=918

918/15=61.2

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: