Question

In 8 – In (x − 5) = 1
Solve

Answer 1

8/e +5 = x ≈ 7.94304

Explanation:

You want the solution to ln(8) -ln(x-5) = 1.

Rewrite

The difference of logs can be written as a single logarithm:

ln(8/(x -5)) = 1

Antilog

Taking antilogs, we get ...

8/(x -5) = e

Solving for x gives ...

8/e = x -5 . . . . . . . multiply by (x -5)/e

8/e +5 = x ≈ 7.94304 . . . . . add 5