Is this a valid proof?

[luffy]

let -> We are solving to find y.
First, apply a logarithm (of base 'e') to both sides.
Therefore:







There you go

[Water]

let -> We are solving to find y.
First, apply a logarithm (of base 'e') to both sides.
Therefore:







There you go

That was way better than my example. Win!

[luffy]

let -> We are solving to find y.
First, apply a logarithm (of base 'e') to both sides.
Therefore:







There you go

That was way better than my example. Win!

Haha. Thank you. Actually, I found your method of doing it somewhat intriguing as well. I've never looked at a logarithm, when it is also an index, as a composite function. Congrats on thinking of it!

[BubbleWrapMan]

I thought it would be as simple as:

ln(5) is the exponent you need to raise e to to get 5
So e^ln(5) is 5?

I'm not sure anyone would care if you can prove that, it's pretty much assumed knowledge for the course (though I could be wrong).

[luffy]

I thought it would be as simple as:

ln(5) is the exponent you need to raise e to to get 5
So e^ln(5) is 5?

I'm not sure anyone would care if you can prove that, it's pretty much assumed knowledge for the course (though I could be wrong).

Yes, that is true. But I figured when he said "proof", he was really just asking, "How do we know that when you raise e to the power of ln(5), we get 5?"

Besides, you may get some more complicated logarithm exponents and it couldn't hurt to know it.