exam Maths Puzzle Numerical Ability

solve algebraically:
log base 2(3x+2) - log base 4(x)=3

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exam Other Question

For some reason I just cannot grasp the concept of the domain and range of functions. Can someone please help with this?

Given f(x)=4x^2-2x-6 and g(x)=2x-3, find the domain of (f-g)(x) and the domain of (f/g)(x). Thanks! 15. The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 27 less than the original number. Find the original number.