Solve the problem.Why can't 1 be the base of a logarithmic function?
What will be an ideal response?
Answers may vary. One possibility: If the base of a logarithm were 1, as in y = log1
, then for all values of y, x would equal 1. A function requires each x-coordinate to have a unique y-coordinate. Thus, the equation y = log1
, whose graph would be equivalent to the line 
would not be a function.
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Solve the problem.Coyotes are one of the few species of North American animals with an expanding range. The future population P of coyotes in a region of Mississippi can be modeled by the equation 
, where t is time in years. How long will it take for the population to reach 150? Round your answer to the nearest tenth, if necessary.
A. 4315 years B. 89.4 years C. 89.7 years D. 89.6 years
Round off the approximate number as indicated.0.009499 2 significant digits
A. 0.009 B. 0.0094 C. 0.00950 D. 0.0095
Solve the absolute value equation or indicate that the equation has no solution.
= 5
A. {8, 0} B. {-8, 8} C. {-8, 0} D. ?
Solve.A local civic theater has 22 seats in the first row and 21 rows in all. Each successive row contains 3 additional seats. How many seats are in the civic theater?
A. 790 seats B. 1010 seats C. 1070 seats D. 1092 seats