##### (a) We can expand log x5y z to get log5(xy)−log5(z) Incorrect: Your answer

 Algebra Tutor: None Selected Time limit: 1 Day

(a) We can expand
log
 x5y z
to get
log5(xy)−log5(z)

.

(b) We can combine

 5 log x + log y − log z to get .
Jul 17th, 2015

Thank you for the opportunity to help you with your question!

We just need to use the following logaritmic properties:

1) log(AB) = log(A) + log(B)

2) Log(A/B) = log(A) - log(B)

3) Log(x^n) = n*log(x)

Part a

log(x^5y/z) = log(x^5y) - log(z) .................... See property 2

log(x^5y) - log(z) = log(x^5) + log(y) - log(z) ........................ See property 1

log(x^5) + log(y) - log(z) = 5log(x) + log(y) - log(z) ............... See property 3

Final answer: We can expand log(x^5y/z) to get:  5log(x) + log(y) - log(z)

Part b

5log(x) + log(y) - log(z) = log(x^5) + log(y) - log(z) ................ See property 3

log(x^5) + log(y) - log(z) = log(x^5y) - log(z) ........................... See property 1

log(x^5y) - log(z) = log(x^5y/z) ................................................. See property 2

Final answer: We can combine 5log(x) + log(y) - log(z) to get:  log(x^5y/z)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 17th, 2015

...
Jul 17th, 2015
...
Jul 17th, 2015
Dec 5th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle