Question

What's the inverse of: ln(2x)-3. My book says it's
1/2e^(x+3)

Answer 1

the guy showed you in your last post how to do it.. did you understand it?

Answer 2

it gives you $$\frac{e^{x+3}}{2}$$ which is equal to $$\frac{1}{2}e^{x+3}$$

Answer 3

http://openstudy.com/study#/updates/548c36eae4b05733b80cf23e

Answer 4

How come the +3 is in the exponent

Answer 5

what is ln(2x)-3 =?
is it y

Answer 6

you can assign it to any variable, conventionally that variable would be y

Answer 7

may be it is ln(2x)-3=x then u get the ur answer @minisweet4

Answer 8

you start with
y = ln(2x)-3
rename Y to X and vice versa:
x = ln(2y)-3

add 3 to both sides
x+3 = ln(2y)
or

ln(2y)= (x+3)

now the "hard part".
to "undo the ln" make both sides the exponent of the base "e"

Answer 9

yes this is exactly what the last guy showed, except he swapped the x and y at the end

Answer 10

this can be done due to the properties of logs and because lnx = log base e of x

Answer 11

to undo the ln