question 1

Rewrite each equation as requested. (a) Rewrite as an exponential equation. logs 8 (b) Rewrite as a logarithmic equation. 37= 81 0O (a) X 5 (b )Rewrite eaeh equation as requested. [a]: Rewrite as an exponential equation. h1=y (ti) Rewrite as a logarithmic equation. Evaluate each expression. Reminder: When a logarithm is written "log" without an explicit base, it refers to the common logarithm, log10. (a) log, 5 = Undefined X 5 (b) log = 100Below is the graph of y = Inx. Translate it to become the graph of y = In (x+4) +1. . . . . . . . . . . . . . i.. . . . ! . X 5 ? . . .. . . . . . . = . .. . . . . . . 1. .. . i . . - ! . . . . . . . . " . -2 .. . . . . . . . . . ! . . . . . . i .. . . - ! . . . . . . . . ..... . . . . . . . . ." . . . . . .". . . . .5. . . . . . . . i . .Graph the logarithmic function. f(x) = Zlog1 f2): Plot two points on the graph of the function, and also draw the asymptote. Then click on the graphafunction button. Graph the logarithmic function g (x) = -3-log4x. To do this, plot two points on the graph of the function, and also draw the asymptote. Then, click on the graph-a-function button. Additionally, give the domain and range of the function using interval notation. ... .... .... .... .......... .........P........ ....P.... ........ ... ..oooooooooooo oooooooooooo .... ... . .8... .... .... .... .... ........ ....;....;.... ..OOOOOOOOOOOO OOOOOOOOOOOOOOOOOO..: 6 . . . ............;... .;... . ;.. . . ;.. . . ;. .. .;.... ..: 4- (0,0) [0,0] (0,0] Domain: X ..... ? .. ... ..:... [0,0) OVO .....-8... ... .-6....... 4.. .. .... .- 2 .. .. ... 2. .4.. . .8.. ..... ...... ..... Range: .. .... ... ..... .. ... ..... .. .... .. -OO ... ... ..... .. .... ... ........ ..... ... .... ... :-6- X 5 ? . ... . ... .... . ... ..:.. ...... . ... .. .... .. . . ..The number of bacteria PIE!) in a certain population increases according to the following function, where time t is measured in hours. P (r) = 160020'161 Find the number of bacteria in the population after 3 hours and after 7 hours. Round your answers to the nearest whole number as necessary. Number after 3 hours: I] bacteria Number after 3\" hours: :I bacteria \fFill in the missing values to make the equations true. (a) log- 9 - log. 8 = log- X 5 (b) log, + log, 9 = log, 45 (c) 1086 25 =Use the properties of logarithms to expand log (If). Each logarithm should involve only.r one variable and should not have anyr expo: Assume that all variables are positive. 1:143?) = [D