Do not stress. I can help :)
first question:
plug in values for x:
x=-2: -2*-2-3=3^-2+2: 1=2.0
x=-1.75: -2*-1.75-3=3^-1.75+2: 0.5=2.1
x=-2.5: -2*-2.5-3=3^-2.5+2: 2= 2.1
x=-2.75: -2*-2.75-3=3^-2.75+2: 2.5= 2.0
It seems that B. x=-2.5 makes the most sense since the two equations are about equal.
check work:
-2x-3=3^x+2
x=about-2.5
-2(-2.5)-3=2
3^-2.5+2=about 2
Hence, the equations do check.
now, do the same process with the other question.
second question:
-4x-1=5^x+4
x=-1.25: -4(-1.25)-1=5^-1.25+4: 4=4
x=-1: -4(-1)-1=5^-1+4: 3=4
x=-0.25: -4(-0.25)-1=5^-0.25+4: 0=5
x=-1.50: -4(-1.50)-1=5^-1.50+4: 5=4
as a result of observing above equations, x=-1.25 is the value which makes the two expressions equal.
check work:
-4x-1=5^x+4
when x=-1.25
-4*-1.25-1=4
5^-1.25+4=4.13375.. which equals about 4
hence, the correct option for this problem is A. x=-1.25
