Consider the equation below. log_4( x + 3 )= log_2 (2 + x ) which system of equations can represent the equation?
i need answer asap for edg

4^y = x + 3

2^y = x + 2

Step-by-step explanation:

log_4(x + 3 ) = log_2 (2 + x )

log_4( x + 3 ) = y

log_2 (2 + x ) = y

4^y = x + 3

2^y = x + 2

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.