Question

Just want to be sure I am doing this right...

ln4x=6...

Answer 1

\[4^6=x\]

Answer 2

Or x=16384

Answer 3

That seems way too large to be right.

Answer 4

It's incorrect x = 4096

Answer 5

but ln 4x = 6 is
4x = e^6

x = e^6 / 4

Answer 6

so its not 4^6

Answer 7

Wait, how so?

Answer 8

I agree with x = e^6 / 4, but thenwhy does x = 4096?

Answer 9

it's not. 4^6 = 4096.

Answer 10

But aren't you supposed to get rid of a log in order to solve for x?

Answer 11

lnx means log base e of x
so ln4x = log(base e)4x

Answer 12

I know ln has a base of e, and that would be \[e^4x=6\]

Answer 13

it messed up, one sec

Answer 14

nvm, it won't let me do it.

e^(4x)=6 is what I was trying to say

Answer 15

Eh, I still don't get this. Could you rewrite this as
\[e^6=4x\]

Answer 16

divide both sides by 4, and you get:
\[e^6/4=x\]

Answer 17

which is exactly what you said...