Another Multi. Choice Problem
Graph the function by making a table of coordinates.
f(x) =


Use the graph of log
_{5}x to obtain the graph of f(x) = 2log _{5}x.


The long jump record, in feet, at a particular school can be modeled by
where x is the number of years since records began to be kept at the school. What is the record for the long jump 14 yearsafter record started being kept? Round your answer to the nearest tenth.


The rabbit population in a forest area grows at the rate of 7% monthly. If there are 180 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected by next September. Use
.


Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. ln (x – 6) + ln (x + 1) = ln (x – 15)


Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
log


Evaluate or simplify the expression without using a calculator. log 1000


Use the graph of f(x) = log x to obtain the graph of g(x) = log x + 5.


The logistic growth function f(t) =
models the number of people who have become ill with a particular infection tweeks after its initial outbreak in a particular community. How many people were ill after 9 weeks?


Use the graph of f(x) = ln x to obtain the graph of g(x) = 4 – ln x.


The formula S = A
models the value of a retirement account, where A = the number of dollars added to the retirement account each year, r = the annual interest rate, and S = the value of the retirement account after t years. If the interest rate is 11%, how much will the account be worth after 15 years if $2200 is added each year? Round to the nearest whole number.


Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
ln (x – 8) – ln (x + 7) = ln (x – 10) – ln (x + 8)


Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.
log


Write the equation in its equivalent logarithmic form.
2


Use Newton’s Law of Cooling, T = C + (T0 – C.ekt, to solve the problem A cup of coffee with temperature 102°F is placed in a freezer with temperature 0°F. After 8 minutes, the temperature of the coffee is 52.5°F. What will its temperature be 13 minutes after it is placed in the freezer? Round your answer to the nearest degree.


Use the compound interest formulas A = P
nt and A = Pe ^{rt}to solve. Suppose that you have $11,000 to invest. Which investment yields the greater return over 10 years: 6.25% compounded continuously or 6.3% compounded semiannually?


The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by pH = logx where x represents the concentration of the hydrogen ions in the solution in moles per liter. Find the pH if the hydrogen ion concentration is 1 x 10
^{1}


A fossilized leaf contains 15% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the halflife of carbon 14. Solve the problem.


Use the graph of log _{5}x to obtain the graph of f(x) = 2 + log _{5}x.
