#### Topic Content:

- Logarithms of Numbers Less Than One (Worked Examples)

### Example 4.2.1:

Use logarithms to evaluate the following:**i)** \( \scriptsize \left ( 0.624 \div 0.09835 \right )^2 \)**ii)** \( \scriptsize\sqrt {0.6821 \times 0.005924} \)**iii)** \( \sqrt [3] {\frac {65.91 \: \times \: 0.0741}{576.2}} \)

**Solution:**

**i)** \( \scriptsize \left ( 0.624 \div 0.09835 \right )^2 \)

Number | Logarithm | |

0.624 | \(\scriptsize\bar{1}.7952\) | |

0.09835 | – | \(\scriptsize\bar{2}.9927\) |

\(\scriptsize {0.8025 \: \times \: 2}\) | ||

\(\scriptsize 1.6050 \) | ||

Antilog = 4.0272 | ||

Answer = 40.272 |

**ii)** \( \scriptsize\sqrt {0.6821 \times 0.005924} \)

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That his has helped me.Thanks👍👍

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From an ss2 student having difficulty in logarithm

You get it

Actually u are wrong because log is very simple