Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log 

A. 100x
B. log x - 2
C. log x + 2
D. -20x


Answer: B

Mathematics

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Express the integrand as a sum of partial fractions and evaluate the integral.dx

A.  tan-1(16x) +  + C
B. tan-1(4x) -  - + C
C.  tan-1(4x) -  + C
D. ln  -  + C

Mathematics

Use the equation and the corresponding graph for the quadratic function to find what is requested.f(x) = (x - 1)2 - 2Find the equation of the axis.

A. x = 1 B. y = 2 C. x = -1 D. y = -2

Mathematics

Find the value(s) of the variable for which the rational expression is undefined.

A. 3, -3 B. -3, -7 C. 0 D. 3, -7

Mathematics

Solve the problem.The amount of particulate matter left in solution during a filtering process is given by the equation P = 500(2)-0.8n, where n is the number of filtering steps. Find the amounts left for  and  (Round to the nearest whole number.)

A. 500; 31 B. 500; 16 C. 1000; 31 D. 500; 8000

Mathematics