Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.[5ln (x + 1) - ln x - ln (x2 - 1)]

A. ln 
B. ln 
C. ln 
D. ln 


Answer: C

Mathematics

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Solve the problem.Use the formula D = 10.0 log (S/S0), where the loudness of a sound in decibels is determined by S, the number of watt/m2 produced by the soundwave, and S0 = 1.00 × 10-12 watt/m2. What is the intensity in watt/m2 of a noise measured at 84 decibels? (Round to an appropriate number of significant digits.)

A. 8.4 × 10-10 watt/m2 B. 2.5 × 10-3 watt/m2 C. 2.5 × 10-4 watt/m2 D. 4.4 × 1015 watt/m2

Mathematics

List the intercepts and type(s) of symmetry, if any.4x2 + y2 = 4

A. intercepts: (1, 0), (-1, 0), (0, 2), (0, -2) symmetric with respect to x-axis and y-axis B. intercepts: (2, 0), (-2, 0), (0, 1), (0, -1) symmetric with respect to the origin C. intercepts: (2, 0), (-2, 0), (0, 1), (0, -1) symmetric with respect to x-axis and y-axis D. intercepts: (1, 0), (-1, 0), (0, 2), (0, -2) symmetric with respect to x-axis, y-axis, and origin

Mathematics

Graph the function.f(x) = x

A.


B.

C.

D.

Mathematics

Find the limit if it exists.

What will be an ideal response?

Mathematics