Solving Exponential Equations

Example

Solution

Since we know that when x = 4.	y	= bx
Replace y with and x with 4.		= b4
Write		= (b)4
Since the exponents are the same, the bases are equal.		= b

So, the base, b, of the exponential function is .

Note:

Since we are working with an exponential function the base must be positive.

If the base is , then

As a check, does ? Yes.