A circle has a radius of 5 inches and a central angle that intercepts an arc with a length of 30 in. What is the measure, in radians, of this central angle

just needed some points but try socratic

22

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: