Rewrite the expression as the sum and/or difference of logarithms, without using exponents. Simplify if possible.loga8x3yz5

A. 8 + logay + logaz5
B. 15 loga8xyz
C. loga8 - 3 logax - logay - 5 logaz
D. loga8 + 3 logax + logay + 5 logaz


Answer: D

Mathematics

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Give a geometric description of the set of points whose coordinates satisfy the given conditions.x = 2, z = -2

A. The point (2, -2) B. All points in the x-z plane C. The line through the point (2, 0, -2) and parallel to the y-axis D. The line through the point (2, -2, 0) and parallel to the z-axis

Mathematics

Solve.(p + 5)2 = 19

A.  - 5
B.  - 
C. 5 ± 
D. -5 ± 

Mathematics

E = 12.6 V, R1 = 22 Kê, R2 = 15 Kê, and RL = 47 Kê. Find VOC and RTH.


a. VOC = 12.6 V, RTH = 15 Kê
b. VOC= 8.85 V, RTH = 8.9 Kê
c. VOC= 8.85 V, RTH = 11.2 Kê
d. VOC= 5.1 V, RTH = 8.9 Kê
e. VOC= 5.1 V, RTH = 15 Kê

Mathematics

Solve the polynomial inequality. Express the solution in interval notation.x3 + 7x2 > x + 7

A. (-?, - 1) ? (1, 7) B. (- 7, -1) ? (1, ?) C. (-?, - 7) ? (-1, 1) D. (-1, 1) ? (7, ?)

Mathematics