Question

How do I solve for x here: ln(4x)=y

Answer 1

Wait, is "In" part of the equation?

Answer 2

yes

Answer 3

Well, basically you have to solve the equation by rewriting in exponential form using the definition of a logarithm and simplifying. Would you like me to help you through the process?

Answer 4

Yes please. It's been a while since I worked with logarithms and stuff. This is actually part of a calculus volume problem. I want to integrate in terms of y.

Answer 5

Alright, well basically the definition of a natural logarithm states that e^y=x if and only if ln x=y

Answer 6

So, because of this, you're able to convert it to \[4x=e^y\]

Answer 7

After that, you simply divide each side by four, after that, let me know what you got.

Answer 8

\[x=\frac{ e^y }{ 4 }\]

Answer 9

You're the bomb man, that's correct. Nice work!

Answer 10

yay! :D

Answer 11

thanks