### Home > INT3 > Chapter 8 > Lesson 8.1.1 > Problem 8-17

8-17.

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 ✎log(6)

log(15)

log(9)

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(3^{2}). Try both.

50 = 2 · 5^{2}