Use the properties of logarithms and the values below to find the logarithm indicated. You must use log properties and show all work. Do not use a calculator to evaluate the logs.

Elena and her husband marc both drive to work. elena's car has a current mileage (total distance driven) of 15,000 and she drives 23,000 miles more each year. marc's car has a current mileage of 46,000 and he drives 9,000 miles more each year. will the mileages for the two cars ever be equal? explain.

To describe a sequence of transformations that maps triangle abc onto triangle a"b"c", a student starts with a reflection over the x-axis.how should the student complete the sequence of transformations to map triangle abc onto triangle a"b"c"? plz

Which shows the correct solution of the equation 1/2a+2/3b=50, when b=30?