Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb (yz3)

A. logb y + logb3z
B. 3 logb yz
C. 3 logb y + 3 logb z
D. logb y + 3 logb z


Answer: D

Mathematics

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Express the number in scientific notation.2500

A. 2.5 × 10-2 B. 2.5 × 10-3 C. 2.5 × 103 D. 2.5 × 102

Mathematics

Simplify, if possible, by combining like terms.-2a - 4b - 3a

A. -9ab B. -5a - 4 C. -5a - 4b D. -5a - 3b

Mathematics

Factor completely.64a6 + b3a3

A. a3(4a - b)(16a2 + 4ab + b2) B. a3(4a + b)(16a2 - 4ab + b2) C. (4a2 + ba)(16a4 - 4ba3 + b2a2) D. a3(4 + ab)(16 - 4ab + b2a2)

Mathematics

Solve for the requested variable.y varies directly as x and inversely as the square of z, and y = 20 when x = 32 and z = 4. Find y when  and z = 2.

A. y =200 B. y = 100 C. y =6.25 D. y =50

Mathematics