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10-185.
  1. Consider that ln(2) ≈ 0.69315 and ln(3) ≈ 1.0986. Homework Help ✎

    1. Why is ln(2) < 1 and ln(3) > 1? For what value of x does ln(x) = 1?

    2. Use the properties of logarithms to write each value below as an expression involving ln(2) and/or ln (3). Then use the given values for ln(2) and ln(3) to evaluate each of the expressions without a calculator.

      i.

      ln(6)

      ii.

      ln(12)

      iii.

      ln(16)

      iv.

      ln

ln6 = ln(2 · 3)

ln6 = ln2 + ln3

ln6 = (0.69315) + (1.0986)
ln6 = 1.79175

See part (a).

See part (a).