exam Maths Puzzle Numerical Ability

I am helping my daughter but this is beyond me. Someone please help.

Use properties of logarithms to expand the logartihmic expression as much as possible.

log c x^7 (the c is positioned below the log)

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exam Other Question

Two classes, one with 50 students and the other with 30, take the same exam. The combined average of both classes is 84.5. If the larger class averages 80, what is the average of the smaller class? A mother is 4 times as old as her son and in twenty years will be twice as old as her daughter, who is five years older than her brother. How old is each?