1.)solve the absolute value equation.
2|3x -5| -8 =8
a. x= -1 5/6 or x= 5/6
b. x= -1 or x= 4 1/3
c. x= -1 5/6 or x= 4 1/3
d. x= -1 5/6 or x= -1

B.  x = -1 or x = 4 1/3.

Step-by-step explanation:

2|3x -5| -8 =8

2|3x -5| = 16

|3x -5|  =  8

The expression in the vertical lines can be positive or negative so we have 2 equations:

3x - 5 = 8 and 3x - 5 = -8

3x - 5 = 8

3x = 13

x = 13/3 or 4 1/3

3x - 5 = -8

3x = -8 + 5 = -3

x = -1.

step-by-step explanation:

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.