Question

Find the solution of the equation:
2ln(2+x)=1

Answer 1

First divide both sides by 2

Answer 2

x=e1/2-2

Answer 3

i got x=-3 x=-1

Answer 4

This leaves you with ln(2 + x) = 1/2

Recall that (ln) = (log base e)

With that said we can rewrite the equation, using the logarithm laws.

2 + x = e^(1/2)

subtract 2 from both sides

x = e^(1/2) - 2

Answer 5

what i did was ln(2+x)^2=1
x^2+4x+4=1

Answer 6

that is wrong

Answer 7

If you wanted to solve it that way it would be

ln(x + 2)^2 = 1

(x + 2)^2 = e

x^2+4x+4 = e

x^2+4x+4 - e = 0

then solve it using quadratic formula or something and you will get your answer.

But this will be a very messy process

Answer 8

in your first comment do you mean multiply by 2 or 1/2

Answer 9

I mean divide both sides by 2, which is same as saying multiply both sides by 1/2

Answer 10

oh okay thanks a lot