Friday, September 28, 2012

If 3 log 4 (a-2) = (9/2), what is a?

First, we'll divide by 3 both
sides:


log4(a-2) = 9/2*3


We'll simplify
and we'll get:


log4(a-2) = 3/2


Now,
we'll use the property:


log a (b) = c => b =
a^c


We'll put a = 4, b = a-2 and c =
3/2


log4(a-2) = 3/2 <=> a - 2 =
4^(3/2)


But 4 = 2^2


a - 2 =
2^3


a - 2 = 8


a = 8 +
2


a = 10

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