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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