Suppose that ln 2 = a and ln 5 = b. Use properties of logarithms to write each logarithm in terms of a and b.ln 10

A. a - b
B. ln a + ln b
C. ab
D. a + b


Answer: D

Mathematics

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Find the equation of the tangent plane to the given surface at the indicated point.2xyz + 2x2y - z3 = 0, (1, -3, 7)

A. -54(x - 1) + 16(y + 3) = -153(z - 7) B. -54(x + 1) + 16(y - 3) - 153(z - 7) = 0 C. -54(x - 1) - 16(y + 3) - 153(z - 7) = 0 D. -54(x - 1) + 16(y + 3) - 153(z - 7) = 0

Mathematics

Solve the exponential equation. For irrational solutions, round to four decimal places.3x = 25

A. {0.3413} B. {2.9299} C. {8.3333} D. {2.1203}

Mathematics

Solve the problem.The sales of a mature product (one which has passed its peak) are given by the function  where t is time in years. Find the sales after 6 years if  and 

A. 12,462 B. 52,761 C. 24,923 D. 21,451

Mathematics

Use synthetic division to show that the number given to the right of the equation is a solution of the equation, then solve the polynomial equation.3x3 + 8x2 - 13x - 30 = 0; -3

A.
B.
C.
D.

Mathematics