exam Maths Puzzle Numerical Ability

show that 7log(16/15)+5log(25/24)+3log(8180)=log2

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exam Other Question

the sum of the recipricals of two consecutive integers is 7/12. find the two intergers x-2 = x+2/4 + 5

I know that x is 10, but I need to know how to figure that out.