exam Maths Puzzle Numerical Ability

Write as a single logorithm:
(1/2)ln(x^2+1)-4ln(1/2)-(1/2)[ln(x-4)+ln x]

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exam Other Question

Is sqrt 121 rational or irrational? Thank you for your help, and you do a wonderful job giving very great details for the problems! i need to solve by factoring
x^2-9x-4=6