Exponential and logarithm function

a )Either the function f(x)=log3x. Use the properties of the reciprocal of a function to plot the graph of f-1 and f on the supplied Cartesian plane. b) The graph of the function g (x) = - log3x + 2 can be sketched from the graph of the function f (x) = log3x. Explain the transformations that must be made to the graph of f (x) to obtain that of g (x). c) Sketch the graph of g (x) = - log3x + 2 and f (x) = log3x on the given Cartesian plane. Indicate the domain, image, and equation of the vertical asymptote of g (x). d) In 1960, a magnitude 9 earthquake on the Richter scale occurred in Chile. In 1994, a magnitude 6.5 earthquake struck North Ridge, California. How many times was the earthquake stronger in Chile? e) The pH scale is a logarithmic scale. The pH of orange juice is 5.2. That for a glass of milk is 7.4. How many times is orange juice more acidic than a glass of milk. f) Six years ago you made an investment with a view to making it grow. Two years later, this amount rose to 2376.20 (interest and principal). Years of Age Today it is now 3,354.20. a) Determine the interest rate at which the amount was invested. g) Decibels are used to measure the power of a sound. The formula is P = 10log II0, where is the intensity of sound in watts per square meter and I 0 = 10^ -12W / m^2. Determines the intensity of engine noise inside a car if the sound level is 25 dB.