What is the missing exponent in the following equation? e^?/e^65 = e^38

Answer 1

To solve for the missing exponent, let's call it x, and use the properties of exponents, we can manipulate the given equation as follows:

e^x / e^65 = e^(x - 65)

According to the equation, we have:

e^(x - 65) = e^38

Since the bases are the same (e), we can set the exponents equal to each other:

x - 65 = 38

Now, we can solve for x:

x = 38 + 65
x = 103

So the missing exponent in the equation e^x / e^65 = e^38 is x = 103.