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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