exam Maths Puzzle Numerical Ability

Solve for x:
a) (4^x)(2^(x+3)=16(^2x-5)
b) (2x-1)(^1/2)=sqrt3
c) 8(^2x)+(8^x)-12=0
d) (x+3)(^2/3)=4

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exam Other Question

Not understanding equations and slopes.

A line passing through (1,4) has a slope of m = 3. Another point on the same line is: a. (4,7)
b. (4,4)
c. (4,5)
d. (1,7)
Please explain.
Find the domain of the function algebraically:
f(x) = (x^2+ 4)^1/2