Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values of x that are between 0 and 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph of each function; submit the graphs via the Dropbox.   

y=2^(x+2)  x=4^(y+2)

2. Solve the problem.   The sales of typewriters have declined considerably in recent years because of the advent of computers. Assume that there were 24 million typewriters sold in 1980 and 6 million sold in 1990. In addition, assume the sales are decreasing according to the exponential decay model. Find the value k, and write an exponential function that describes the number of typewriters sold after time t, in years. (Round decimals to three places.)        

 A. k = 0.318; S(t) = 24e^-0.318t, where S(t) is in millions and t is the number of years since 1980.        

 B. k = 0.139; S(t) = 24e^-0.139t, where S(t) is in millions and t is the number of years since 1980.       

 C. k = -0.139; S(t) = 24e^-0.139t, where S(t) is in millions and t is the number of years since 1980.       

 D. k = 0.179; S(t) = 24e^-0.179t, where S(t) is in millions and t is the number of years since 1980.  

3. Solve the problem.

log ₄ x = -2

4. Solve the problem. log ₂₇ x = 2/3

5. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.

 log 2x = log 3 + log (x - 4)

6. Solve. Where appropriate, include approximations to the nearest thousandth. If no solution exists, state this.

3^{(2x + 1)} = 243

7. Find the logarithm using the change-of-base formula. Round to the nearest ten-thousandth. log_π 80         A. 69.8855        B. 3.8280        C. 0.2612        D. 1.3948

8. Evaluate the logarithmic function for three values of x between zero and one, three values of x greater than 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the domain and the range of the function.

g(x) = -2 ln