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6 April, 08:49

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

ln (x-3) - ln5=1

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  1. 6 April, 09:06
    0
    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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