4 a Between which two consecutive whole numbers does lie?
b Check your answer by evaluating correct to 2 decimal places.

Ask by Whittaker Fitzgerald. in the United States

Mar 26,2025

Question

4 a Between which two consecutive whole numbers does $$ \log (0.6) $$ lie? b Check your answer by evaluating $$ \log (0.6) $$ correct to 2 decimal places.

UpStudy AI · Accepted Answer

1. Recognize that for logarithms in base 10:
   - $$ \log(1)=0 $$
   - $$ \log(0.1)=-1 $$

2. Since $$ 0.6 $$ is between $$ 0.1 $$ and $$ 1 $$, it follows that:
   $$
   -1 < \log(0.6) < 0
   $$
   Thus, $$ \log(0.6) $$ lies between the consecutive whole numbers $$-1$$ and $$0$$.

3. Evaluating $$ \log(0.6) $$ using a calculator gives approximately:
   $$
   \log(0.6) \approx -0.22
   $$
   when rounded to 2 decimal places.

The final answers are:
- a) Between $$-1$$ and $$0$$.
- b) $$ \log(0.6) \approx -0.22 $$.
$$ \log(0.6) $$ lies between $$-1$$ and $$0$$. Its value is approximately $$-0.22$$ when rounded to two decimal places.

4 a Between which two consecutive whole numbers does lie?
b Check your answer by evaluating correct to 2 decimal places.

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4 a Between which two consecutive whole numbers does lie? b Check your answer by evaluating correct to 2 decimal places.