Find the value of "a" so that the operation results in ln (2x)

[BurlyUranus]

I'm confused at what should I do. I can't find a way to use the integral for the exercise, because the given function inside it is "f(t)dt".

 

[MarkFL]

What do you get if you differentiate both sides of the equation with respect to \(x\)?

 

[Steven G]

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View attachment 15365

I'm confused at what should I do. I can't find a way to use the integral for the exercise, because the given function inside it is "f(t)dt".

Bring the 1 to the other side. Look at the limits and think what f(x) should be to get ln(2x) - ln(e), oops I meant ln(2x)- 1

MarkFL gave you the standard way of doing these problems but I think that the answer is staring you in the face.