Wednesday 26 February 2014

LOGARITHMS B37

If logx625 – log264 = -4; find x

solution

logx625 – log264 = -2

logx625 – log226 = -2

logx625 – 6log22 = -2

logx625 – 6 x 1 = -2

logx625 – 6 = -2

logx625 = -2 + 6

logx625 = 4

625 = x4

54 = x4      Powers cancel out

x = 5


Hence x = 5.

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