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8-17.
  1. Given that log(2) ≈ 0.3010, log(3) ≈ 0.4771, and log(5) ≈ 0.6990, calculate each of the following logarithms without using the log button on your calculator. Homework Help ✎

    1. log(6)

    2. log(15)

    3. log(9)

    4. log(50)

log(6) = log (2 · 3)
Now use the properties of logarithms to expand.

log (2) + log (3) ≈ 0.7781

Express 15 as a product of numbers whose logs are given. Then see the step in part (a).

log(9) can be rewritten as log(3 · 3) or log(32). Try both.

50 = 2 · 52