Question

Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs. Show your work on the right using the draw tool. Log rules are included for reference at the bottom of the slide.

Answer 1

Answer: 0.2

Explanation:

We have to find
`log (3)/(2)`.

We are given log 12 and log 8, the farthest.

Subtract to find the number you have to multiply by.

3 x 4 = 12 and 2 x 4 = 8.

Our next fraction will be
`log (12)/(8)`

Now, subtract log 12 (1.1) by log 8 (0.9)

1.1 - 0.9 = 0.2

So, the answer to the question is 0.2

Answer 2

02.

Step-by-step Explanation

`log (3)/(2) \\ \\ = log (3 * 4)/(2 * 4) \\ \\ = log (12)/(8) \\ \\ = log 12 - log 8 \\ \\ = 1.1 - 0.9 \\ \\ = 0.2 \\ \\ \huge \red{ \boxed{log (3)/(2) = 0.2}}`