How do you solve this multi-step equation involving natural logarithms?
ln(x-3)-ln5=1
1 answer:
Answer:
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
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