Evaluate the logarithm using the change of base formula. Round to 3 decimal places.

A) –12.354
B) 0.089
C) 0.039
D) –0.098
E) –0.081


E) –0.081

Mathematics

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For the given pair of functions, find the requested function.f(x) = 4x - 2, g(x) = -7x2 - 9x + 6; (f - g)(x)

A. 7x2 + 13x - 8 B. -7x2 + 13x + 8 C. 7x2 - 5x - 8 D. -7x2 - 5x + 4

Mathematics

The nth term of a sequence is given. Find the first 4 terms.an =  

A. 0, 1, , 1
B. 0, 
C. 1, , 1, 
D. 1, 1, 1, 1

Mathematics

A town is experiencing a growth pattern of 8% per year in its population P; that is dP / dt =0.08P, where P is the population of the town and t is the time, in years, from 2005.

(a) Given that the town’s population in 2005 was 400,
find the solution of the equation assuming = 400
and k = 0.08.
(b) What will the population be in 2015?
(c) What is the doubling time of the population?

Mathematics

Evaluate dz.z =  + ;x = 4, y = 11, dx = 0.03, dy = 0.01

A. -0.13 B. 0.13 C. 0.23 D. -0.23

Mathematics