exam Maths Puzzle Numerical Ability

Let M=B^a and N=B^c. Show why log(base b)MN = log(base b)M + log(base b)N.

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exam Other Question

Beth is 14 years older than Aria. Last Year Beth was three times as old as Aria. How Old is Aria? Can someone please help me with these. I thought I understood how to solve them but I am stuck and don't know what to do. Thank you.
a) sqrt of x - 1 = 3
b) sqrt of x^3 = 8
c)