Friday, April 5, 2013

Why the answer to this problem 4^(5x-3)=1 is 3/5?

Let's see how to get this answer. First, we'll re-write
the equation, substituting 1 by 4^0, in this way creating matching bases both
sides.


4^(5x-3) = 4^0


Since we
have matching bases, we can apply one to one property:


5x -
3 = 0


We'll add 3 both
sides:


5x - 3 + 3 = 3


5x =
3


We'll divide by
5:


x =
3/5


So, the answer 3/5 is the
value of x that makes the identity to be
true.


4^(5*3/5-3) =
1


4^(3-3) = 4^0


4^0 = 4^0 true
for x = 3/5

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