Final answer:
The mixed number 6 1/3 can be expanded to the improper fraction 19/3. Without additional context, it is not possible to provide a definitive answer to express 7 - 7 - 4/3 x as a single logarithm.
Step-by-step explanation:
The question has two distinct parts related to mathematics:
- Expanding the fraction 6 1/3, which is a mixed number, into an improper fraction.
- Expressing the expression 7 − 7 − 4/3 x as a single logarithm, assuming the expression is meant to be interpreted with algebraic and logarithmic operations.
To address the first part, 6 1/3 can be expanded into an improper fraction by multiplying the whole number 6 by the denominator 3, then adding the numerator 1, which gives 19/3 as the improper fraction.
The second part seems to lack some context as it is not clear what the base of the logarithm is or how the terms are related. If we were to combine logarithms assuming they have the same base and we are to subtract the logs, it could potentially look like log(a/b), where a and b are the terms inside the individual logarithms. Without the proper context or clarity, it's not feasible to provide a definitive answer to this part.