exam Maths Puzzle Numerical Ability

Solve. 4^2=x^2+a+1t

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how can you solve the first one ? my 1st try resulted to x=2 and x=1.

about the last 2, how can you express into loga
How much 40% acid solution should be mixed with 2 gallons of 60% acid solution in order to get 50% acid solution? Set up an equation to solve.