To solve this equation, we can use the properties of exponents. We know that when dividing exponential terms with the same base, we subtract the exponents.
So, when we divide e^? by e^65, we subtract the exponents:
e^?/e^65 = e^(? - 65)
Since the right side of the equation is e^38, we can now set up an equation:
e^(? - 65) = e^38
By equating the exponents, we have:
? - 65 = 38
To isolate the missing exponent, we add 65 to both sides:
? = 38 + 65
Simplifying the expression:
? = 103
Therefore, the missing exponent in the equation is 103.