How do you solve this multi-step equation involving natural logarithms?

ln (x-3) - ln5=1

Step-by-step explanation:

Step 1, when subtracting logs with the same base you can rewrite it with one log and the argument becomes division ...

ln (x - 3) - ln 5 = 1 becomes ...

ln [ (x - 3) / 5 ] = 1

Step 2, rewrite the by putting into exponential form ... ln has a base of e, so we get ...

e^1 = (x - 3) / 5

Now solve ...

e = (x - 3) / 5

5e = x - 3

5e + 3 = x