Evaluate log, 29 to two decimal places: 0.56 0.62 0.18 1.62 What is the exact value of the exponential equation, 5(10)** = 75? x= log75 4log50 x= log15 log4 log70 4 log15 The number of hours, t, that bacteria spread 10-fold can be modeled by the equation B(t) = B.(10)". There are 50 bacteria present initially and a biologist wishes to find out how many hours will elapse until there are 10,000 bacteria present. What is the exact value for the number of hours elapsed, t, in the equation 10,000 = 50(10)** log 20 t- t= log 200 log4 log 5,000 4 log 250 log 300 log, (v+) log. (1) is equivalent to 4 When solving the logarithmic equation log(x-5)+log(x+4)=1 for x, the solution is = and an extraneous solution is x + O 6,-5 -5,-6 6,5 -5,6 Which of the following equations could describe the graph below? log (+) log (5) (0,1) A population of 100 rabbits can be modeled by the equation y = 100-12, where y is the final population of rabbits, x is the time in years. -1400 -1300 Graph 1 -1200 Number of Rabbits -1100 -1000 -900 Graph 2 -800 -700 -600 -500 -400 -300 -200 100 -0 -25 -20 -15 -10 +5 -100 --200 10 15 20 25 30 Time in Years -300 -400 Which graph correctly models this population, and what is the approximate number of rabbits in the population after 5 years? Graph 1 and there would be approximately 54 rabbits. Graph 2 and there would be approximately 182 rabbits. Graph 2 and there would be approximately 100 rabbits. Graph 1 and there would be approximately 100 rabbits.