exam Maths Puzzle Numerical Ability

3 to the 1/2 power times 9 to the 1/3 power divided by 27 1/4 power
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exam Other Question

studing for my finals....need help!!!

write as a single logarithm:

2 log 2 - 3 log x - 1/2 [log(x+3) + log (x-2)]

THIS IS THE HARDEST ONE YET!!!!PLEASE HELP......AND THANK If the legnth of one side of a rectangle is 8 and the legnth of a diagonal is 10 , find the area of the rectangle.