exam Maths Puzzle Numerical Ability

How do you write this as a single logarithm of a single argument 1/2ln5+3ln2 ?

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exam Other Question

WHAT IS THE MAXIMUM VALUE OF y=-x^2+6x?
This is a quadratic with a=-1 and b=6
The maximum point occurs when x=-b/(2a)
x=-6/(-2)=3
When x=3, y= -3^2+6(3)=9
Maximum at (3,9)
Cheers,
Stan H. how do you calculate the coordinates