Fully condense the expression. assume that all variables represent positive numbers. (log x -2 log y+ 3 log z) (10 points)

 The required condensed expression is

Step-by-step explanation:  We are given to fully condense the following logarithmic expression assuming that all variables represent positive numbers :

We will be using the following properties of logarithms :

Therefore, from expression (i), we get

Thus, the required condensed expression is

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: