What is the missing exponent in the following equation?

Question

e(?)/e(65) = e(38)
(1 point

Answer 1

To solve the equation \( \frac{e(?)}{e(65)} = e(38) \), we can use properties of exponents.

1. We can rewrite the left side as: \[ \frac{e(?)}{e(65)} = e(? - 65) \] (using the property \( \frac{e^a}{e^b} = e^{a-b} \)).

2. Setting the exponents equal to each other from both sides of the equation gives us: \[ e(? - 65) = e(38) \] Therefore, we have: \[ ? - 65 = 38 \]

3. Now, solve for \( ? \): \[ ? = 38 + 65 \] \[ ? = 103 \]

Thus, the missing exponent is 103.