Write as the sum and/or difference of logarithms. Express powers as factors.log 
A. log 1 - 3 log 1 - 3 log x
B. log(x - 1) + log(x2 + x + 1) - 3 log x
C. log x3 - log 1 - 3 log x
D. log(x - 1) + log(x2 + 1) - 3 log x
Answer: B
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Find the product and simplify. Assume all variables represent nonnegative real numbers.(10 - 6
)(6 - 3
)
A. 60 + 66
+ 18y
B. 60 - 66
+ 18y
C. 60 - 6
+ 18y
D. 60 + 18y
The population N, in millions, of insects in a certain area after t years of observation is given in the following table. t 3 5 7 9 11 N 8.24 8.32 10.97 13.26 16.66A: Use exponential regression to model the insect population as a function of time. Round your answer to two decimal places.B: Plot the exponential model along with the data points.C: According to the exponential model, when is the insect population expected to reach 22.62 million? Round your answer to two decimal places.
What will be an ideal response?
Solve the given applied problems involving variation.The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 5 ft from a light is 
find the intensity on a screen 20 ft from the light.
A. 2 foot-candles B. 0.11 foot-candle C. 0.13 foot-candle D. 8 foot-candles
Write in logarithmic form.p = 9t
A. log9 p = t B. logp 9 = t C. logt 9 = p D. log9 t = p