The function h(d)=2d+4.3 relates the height (h) of the water in a fountain in feet to the diameter (d) of the pipe carrying the water in inches. Find h(1.5) and interpret your solution in the context of the problem.
Find the value of d when h(d)=10.3 and interpret your solution in the context of the problem.

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: