Use the product rule to rewrite the following: log (xy)

Question

*
2 points
log (x + y)
log (x) + log (y)
log (x) + y
Use the quotient rule to rewrite the following: log (x/y)
*
2 points
log (x - y)
log (x) - log (y)
log (x) - y
Use the power rule to rewrite the following: log (x^3)
*
2 points
3 log (x)
log (x) + 3
log (x) - 3
Condense the following: log 8 + log x - log y
*
2 points
log 8xy
log 8x - y
log (8x/y)

Answer 1

Here are the answers to your questions using the respective logarithmic rules:

1. Use the product rule to rewrite the following: log (xy)
   Answer: log (x) + log (y)

2. Use the quotient rule to rewrite the following: log (x/y)
   Answer: log (x) - log (y)

3. Use the power rule to rewrite the following: log (x^3)
   Answer: 3 log (x)

4. Condense the following: log 8 + log x - log y
   Answer: log (8x/y)

If you have more questions or need further assistance, feel free to ask!