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