A telephone pole is 45 feet tall and casts a 20 foot shadow. A street lamp next to the
telephone pole casts a 12 foot shadow.
Calculate the height of the street lamp.

ou would have 12 of each

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:

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation: