The exponential and logarithmic

1. https://prnt.sc/vzwk8h logarithmic form. 2.https://prnt.sc/vzwkf4 exponential form. 3.https://prnt.sc/vzwkot Evaluates the expressions. 4. a) Let the function g(x) = log2x. Uses the properties of the reciprocal of a function to plot the graph of f-1 and f on the Cartesian plane provided. b) The graph of the function g(x) = -log2(x) + 2 can be sketched from the graph of the functionf(x) = log2x. Explains the transformations that must be made to the graph of f(x) to obtain the graph of g(x). c) Sketch the graph of g(x) = -log2(x + 2) + 2 and f(x) = log2x on the Cartesian plane provided. Indicates the domain, image and equation of the vertical asymptote of g(x) = -log2(x + 2) + 2. 5. Hassan explains to his friend Albert that there have been two earthquakes in Chile. The first one was magnitude 4.1 on the Richter scale. The second was 8.2 on the Richter scale. Hassan mentions that the second earthquake was twice as strong. Is Hassan right? If not, explain the situation. 6.The pH scale is a logarithmic scale. a)Calculates the concentration of an acidic solution with a pH of 5.6? b) André and Belinda have just finished a jog. André takes a glass of milk whose pH is of 6.4. Belinda prefers to take an orange juice with a pH of 3.9. How many times is Belinda's orange juice more acidic than milk? 7. The body of a man who accidentally fell into a hole in the ground was recently discovered.ice in a Siberian mountain. We want to know the time of his death by using the carbon 14 technique. The amount of carbon 14 remaining in the remains is 4^-1/3 of the initial quantity. Knowing that the half-life of carbon 14 is 5,370 years, determines since how many years this man has been dead. 8. Solve the equations. Round your answers to the nearest hundredth, if necessary. https://prnt.sc/vzwwfz https://prnt.sc/vzwwtz 9. Solve logarithmic equations. https://prnt.sc/vzwxvu 10. Ten years ago, Adelaide deposited a term investment in the bank. Five years ago, the initial amount increased to $4,407.98 (interest and principal). Today that amount is $6476.77? a) What was the original amount deposited in the bank 10 years ago? b) How long will it be before it accumulates $10,000? 11. You have learned that decibels are used to measure the power of a sound. The formula is https://prnt.sc/vzwzjn In the House of Commons, Canada's Prime Minister delivered his latest Speech from the Throne. with a noise level of 50 dB. Determines the intensity of the Prime Minister's voice?