26. The length ( (in inches) of an alligator and its weight w (in pounds) are related by the function ( = 27.1 In w - 32.8.
a. Estimate the length (in inches) of an alligator that weighs 250 pounds. What is
its length in feet?
b. Find the inverse of the given function. Use the inverse function to find the
weight of a 14-foot alligator. (Hint: Convert to inches first.)

7

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:

37 = ending with 7

unit's digit in the cube..3

56 = ending with 6

unit's digit in the cube..2

133 = ending with

unit's digit in the cube..7

hope it : ( : )