Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log4(64x)

A. 3 log4 x
B. 3x
C. 3 + log4 x
D. 12 + log4 x


Answer: C

Mathematics

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Create the requested drawing.The given figure illustrates a three-step fractal recursive process using the letter M. Using a similar progression, construct fractals with the letter A.

What will be an ideal response?

Mathematics

If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the velocity vector of the particle.

A. v(t) = (-8)i + j
B. v(t) = i + (-8t)j
C. v(t) = (-8t)i - j
D. v(t) = (-8t)i + j

Mathematics

Provide an appropriate response.Karen wants to convert 2.5 to a percent. She moved the decimal two places to the left. She converted the number to a percent correctly.

A. True B. False

Mathematics

Solve the system by the addition method.2x2 + y2 = 173x2 - 2y2 = -6

A. {(1, 3), (-1, -3)} B. {(2, 3), (2, -3), (-2, 3), (-2, -3)} C. {(2, -3), (-2, 3)} D. {(1, 3), (1, -3), (-1, 3), (-1, -3)}

Mathematics