# Evaluating logarithms using logarithm rules

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### Introduction

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### Examples

#### Lessons

- Select the correct answer:
- Which of the following correctly states the

"product law"?

i)$\log_2 8 + \log_2 4 = \log_2 12$

ii)$\log_2 8 + \log_2 4 = \log_2 32$

iii)$\log_2 8 \cdot \log_2 4 = \log_2 32$

- Which of the following correctly states the

"quotient law"?

i)$\log_b 15 - \log_b 3 = \log_b 5$

ii)$\log_b 15 - \log_b 3 = \log_b 12$

iii)${{\log_b \sqrt{8}} \over {\log_b \sqrt{32}}} = \log_b(\sqrt{1 \over 4})$

- Which of the following correctly states the

"power law"?

i)$(\log 100)^3 = \log 100^3$

ii)$(\log 100)^3 = 3\log 100$

iii)$\log 100^3 = 3\log 100$

- Which of the following correctly states the
- Evaluate and state the laws involved in each step of

the calculation:

${5 ^{log_2{^3}\sqrt{80}} \over 5 ^{log_2{^3}\sqrt{20}}}$

- Express as a single logarithm:

${\log A-3\log B-\log C}$

- Evaluate logarithms:
- Evaluate.