226k views
3 votes
Ln 4 - Ln x = 2

Solve for x showing all steps. Round to the nearest hundredth.
Please give step by step instruction

1 Answer

4 votes
Ln 4 - Ln x = 2

In logs, when there is a minus you have to divide so the first step is to do the following :

Ln (4/x) = 2

Then you have to convert the logarithm into exponential form using that ln (x) = b is equal to x = e^b. Therefore the next step should look like this :

4/x = e^2

Then multiply both sides by x, which becomes :
4 = (e^2)(x)

Then divide both sides by e^2. Which becomes :

4/e^2 = x
0.541341 = x

To the nearest hundredth, it becomes 0.54
User Mackorone
by
6.8k points