exam Maths Puzzle Numerical Ability

Solve foe x:
a) (0.5)^(x+2)=3^x
b) 1/8(16^(2x-1))=(sqrt2)^x
c)2-log(5x)=log(x+1)

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exam Other Question

I am having a hard time understanding constants. Here is my problem: Determine the constant k so that the graph of 3x+(k-1)y=k+1 will have slope 5.

Thank you. 50. A rock is thrown from the top of a tall building. The distance in feet, between the rock and the ground t seconds after it is thrown is given by d= -16t^2-2t+524. How long after the rock is thrown is it 321 feet from the ground?