assignment 1 part 2

question 11

Rewrite each equation as requested. (a) Rewrite as an exponential equation. log; 81 =4 (b) Rewrite as a logarithmic equation. 8 2 64 00 ( a ) X ? (b)Rewrite each equation as requested. (a) Rewrite as an exponential equation. In2 = y (b) Rewrite as a logarithmic equation. 6 = X (a) Olog O Olno ( b )Evaluate each expression. Reminder: When a logarithm is written "log" without an explicit base, it refers to the common logarithm, log10 . 0 (a) log, 64 = Undefined X 5 ? (b) log = 10Below is the graph afy =leg1x. Translate it to became the graph of]; =leg1(x 3)+1. Graph the logarithmic function. g (x) = 4+log2 X Plot two points on the graph of the function, and also draw the asymptote. Then click on the graph-a-function button. . . . . . . . . . . . .. . . . . ! . . . . . . . .. - . . . . i . . . i . . . ! . . ". . . . .. . . . . . . . . . . . .. 1 . . . . . . . . . . .. . . . ... 1 . . . . . H H ....... . . . . . .. ....... .. . .. . . . . . . . . .. . . . . . -.3.... 20... .. ........ .....!.... . . . . . . . . . . . . . . . . X 5 ? ....1. . . . . . . . ..' ". . . . . . . . . . . . . . . . . . . . . . . . . .. . I . . . . . . . . . . . . . . . . . .. . .. . i. . .. . . . . i . . . .. -2 . . . . i .. . . . . . . . .. . . . . . ! . . . . . ! . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . -. . ................ . . . .. -. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .Graph the logarithmic function g(x) = 3log2x. To do this, plot two points on the graph of the function, and also draw the asymptote. Then, click on the graphafunction button. Additionally, give the domain and range of the function using interval notation. A Domain: (ELEI) [an] MD] [Uni (D nun Range: The number of milligrams D (h) of a drug in a patient's bloodstream / hours after the drug is injected is modeled by the following function. D (h) = 20e-03h Find the amount of the drug in the bloodstream after 2 hours and after 6 hours. Round your answers to the nearest hundredth as necessary. Amount after 2 hours: milligrams Amount after 6 hours: I milligrams X 5 ?Solve for x. log, 27 = 3 Simplify your answer as much as possible. X : log Olog No 0 solution X 5Fill in the missing values to make the equations true. (a) log, 11 + log, 3 = log O X 5 ? (b) log, 2 - log, (C) 1089 25 = -210gg2 x Use the properties of logarithms to expand log Each logarithm should involve only one variable and should not have any exponents. Assume that all variables are positive. X logO log = X 5