Answer:

6. Given the value of the logarithm as logo = 0.3010, we can represent it as follows:

Characteristics: 0 (as there is no whole number part in 0.3010)

Mantissa: 0.3010

Hence, the correct option is:

1) 0,0.3010

7. The mantissa is always less than 1 and non-negative (not necessarily positive). Hence, the correct option is:

1) less than 1 and non-negative.

8.Given the value of the logarithm as logo N = 3.15642, we can see that it has 5 digits. Hence, the correct option is:

4) Four.

9.To find the value of \( \log_1 6 \) using the given information, we can use the logarithmic identity: \( \log_b (a^n) = n \cdot \log_b (a) \).

We have:

\[ \log_1 6 = \log_1 (2 \cdot 3) = \log_1 2 + \log_1 3 = 0.3010 + 0.4771 = 0.7781 \]

Hence, the value of \( \log_1 6 \) is 0.7781. Therefore, the first part of the question is answered by:

1) 0.7781

10. if logo N=5.7646, we can identify the characteristic as the integral part of the logarithm. In this case, the characteristic is -5.

Hence, the answer to the second part of the question is:

3) -5.