Question

ln√(x+4) - 2 = -1, solve for x

Answer 1

Do you think you know what the answer might be or how to get it?

Answer 2

I think I have an idea and have an answer, but I don't know if it is correct.

Answer 3

first, add by 2 to both sides, will giving us
ln√(x+4) - 2 = -1
ln√(x+4) - 2 + 2 = -1 + 2
ln√(x+4) = 1

Answer 4

Have that.

Answer 5

And what is your idea?

Answer 6

Then I divided both sides by "e" canceling out the ln and getting me .36788 on the other side.

Answer 7

Wait why are you dividing by e?

Answer 8

This is new to me. I thought that the ln is equal to e - .271828 Am I wrong?

Answer 9

then setting 1 to ln e
now, u have an equation
ln√(x+4) = 1
ln√(x+4) = ln e
cancel out "ln"
√(x+4) = e
solve for x

Answer 10

Oh, thank you. That makes more sense. Got it.

Answer 11

you're welcome

Answer 12

3.3891 should be my answer for x. Correct?

Answer 13

from √(x+4) = e
squares both sides :
x+4 = e^2
subtract by -4
x+4-4 = e^2 - 4
x = e^2 - 4

Answer 14

i mean subtract by 4 *

Answer 15

Time out.

Answer 16

The base is e. The exponent is 1 so we have:
\[e^1=\sqrt{x+4}\]

Answer 17

Square both sides:
\[e^2=x+4\]

Answer 18

So, can I substitute 2.71828 for e and give a numerical answer for x?

If you have time for another one, I'd love help. :) \[e^\ln x^2 - 5^\log(5) 1\]

Answer 19

Subtract 4 from both sides.

Answer 20

That gives me 3.3891 right?

Answer 21

\[x=e^2-4=3.38\]

Answer 22

Yes

Answer 23

:)

Answer 24

u mean like this, for #2