e^?/e^65 = e^38
(1 point)
Since e^(a-b) = e^a / e^b,
e^?/e^65 = e^38
e^? = e^38 * e^65
e^? = e^(38+65)
e^? = e^103
To solve the given equation, we can use the properties of exponents.
We have the equation:
e^? / e^65 = e^38
To simplify, we can use the quotient rule of exponents, which states that dividing two exponential expressions with the same base is equal to subtracting their exponents.
So, we can rewrite the equation as:
e^(? - 65) = e^38
Now, since the bases (e) are equal on both sides, the exponents must also be equal.
Therefore, we have:
? - 65 = 38
To isolate the variable "?", we can add 65 to both sides of the equation:
? = 38 + 65
Simplifying, we get:
? = 103
Therefore, the value of "?" in the given equation is 103.