Question:

How to do ln x = 1.6873 and log 42.117 = .4x - 3.08?

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Please show me the steps to how to do the problems, thx.

1. ln x = 1.6873

2. log 42.117 = .4x - 3.08

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  1. 1.

    From the definition of a logarithm to base e:

    x = e^1.6873

    = 5.405.

    2.

    0.4x = 3.08 + log(42.117)

    x = (3.08 + log(42.117)) / 0.4

    = 11.76.

    From the definition of a logarithm to base 10:

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