Express the following logarithm as specified.ln 0.75 in terms of ln 2 and ln 3

A. ln 3 + 2 ln 2
B. ln 3 - 2 ln 2
C. 2 ln 3 + ln 2
D. ln 3 - ln 2


Answer: B

Mathematics

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Evaluate the integral.

A.
B.
C.
D.

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Use De Moivre's theorem to simplify the expression. Write the answer in the form a + bi.3

A. -4 + 4i
B. 4 - 4i
C. 4 - 4i
D. -4 - 4i

Mathematics

Find the derivative of the function.y = (2x3 - 2x2 + 8x - 6)ex3

A. (6x5 - 6x4 + 24x3 + 6x2 - 4x + 8)ex3 B. (6x2 - 4x + 8)ex3 C. (6x5 - 6x4 + 24x3 - 12x2 - 4x + 8)ex3 D. (6x5 - 6x4 + 24x3 -18x2)ex3

Mathematics

Solve.logx343 = 3

A.
B. {-7}
C. {-3}
D. {7}

Mathematics