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14 February, 06:32

5e^6x+3 = 0.1

How do I solve this?

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  1. 14 February, 07:06
    0
    -1.152 to the nearest thousandth.

    Step-by-step explanation:

    5e^6x+3 = 0.1

    Divide both sides by 5:

    e^6x+3 = 0.02

    Take logs to the base e of both sides:

    ln e^ (6x+3) = ln 0.02

    6x + 3 = ln 0.02 (by the definition of a logarithm).

    x = (ln 0.02 - 3) / 6

    x = - 1.152.
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