book Maths Puzzle Numerical Ability

x^2=5x+2

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I would greatly appreciate your help and thank you in advance.

The formula v= the square root 2.5 r models the safe speed, v, in miles per hour, at which a car can travel on a c if, log2=a and log3=b, express log cuberoot972 in terms of a and b. the answer is 2a+5b over 3. please help.