Integrated rate law confusion

[sarahtang4B]

In the homework problems why do we use ln[At]/[A0]=-kt sometimes and other times we use ln[A0]/[At]=kt for first order reactions?
What is the difference?

[ThomasLai1D]

The difference is the placement of the minus signs. Both will net the same answer, but because of the treatment of the minus signs and properties of natural logs, the equations look different.

[Hedi Zappacosta 1E]

It just depends which side of the equation you isolate. If you move the ln expressions to the right, then you will end up with the ln[A0] on top

[Searra Harding 4I]

What is the benefit in using one over the other for a particular problem?

[Jennifer Lathrop 1F]

^ I have the same question

[Nicolette_Canlian_2L]

I don't believe there's a gain in using one over the other. It just depends on how you isolate the variables.