Teri ran 8 kilometeters. one mile is approximately equal to 1.6 kilometers. which measurement is closest to the number of miles teri ran? (a 5mi) (b 12.8mi) (c 6.4mi) (d 9.6mi)

$9.41

step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

answer: b

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: