exam Maths Puzzle Numerical Ability

I am struggling with this word problem, I would like some help on how to complete these type of problems. Here is the problem: If 4 times an interger is increased by 3, the result is between 13 and 25. What is the interger? Please help me. Thank you

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exam Other Question

Solve:(A) (1/27)sqrt3^x=81(^x-1)/9
(B) (cubedsqrt4/2)^6x=2sqrt2
I am worried that I have not typed (B) correctly but if someone could even help me with(A) I would appreciate it .
Assume that y varies directly as x. Find y when x = 54 if y = 1/4 when x = 3/2.