Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
coolaidd
Group Title
(1) Write log9+1/3log729 as a single logarithm.
(2) Write log[2]51/2log[2]169 as a single logarithm.
 one year ago
 one year ago
coolaidd Group Title
(1) Write log9+1/3log729 as a single logarithm. (2) Write log[2]51/2log[2]169 as a single logarithm.
 one year ago
 one year ago

This Question is Closed

jbovey Group TitleBest ResponseYou've already chosen the best response.0
1) the 1/3 would just be the exponent of log(729) so log(729)^1/3 and then we use log rule log(ab)= log(a)+log(b) to get log(9)(729)^(1/3)
 one year ago

jbovey Group TitleBest ResponseYou've already chosen the best response.0
log(6561)^(1/3)
 one year ago

coolaidd Group TitleBest ResponseYou've already chosen the best response.0
so i solve that? @jbovey i got In9/in10
 one year ago

coolaidd Group TitleBest ResponseYou've already chosen the best response.0
is that for the #(2)?
 one year ago

jbovey Group TitleBest ResponseYou've already chosen the best response.0
no thats the answer for #1. Since it says just write as single log you wouldn't have to solve any further
 one year ago

jbovey Group TitleBest ResponseYou've already chosen the best response.0
it just wants you to use the log rules and combine
 one year ago

coolaidd Group TitleBest ResponseYou've already chosen the best response.0
oooh ok.. so what about #2?
 one year ago

jbovey Group TitleBest ResponseYou've already chosen the best response.0
Im kind of confused by the way you wrote it. Can u draw the equation out so I can see?
 one year ago

coolaidd Group TitleBest ResponseYou've already chosen the best response.0
yupp! hold on..
 one year ago

jbovey Group TitleBest ResponseYou've already chosen the best response.0
I know you'll have to use log rule 3 which is log(a)log(b)= log(a)/(b)
 one year ago

coolaidd Group TitleBest ResponseYou've already chosen the best response.0
dw:1354512532548:dw
 one year ago

jbovey Group TitleBest ResponseYou've already chosen the best response.0
so are 5 and 169 the exponents?
 one year ago

coolaidd Group TitleBest ResponseYou've already chosen the best response.0
no those are regular sized..
 one year ago

geoffb Group TitleBest ResponseYou've already chosen the best response.1
The 2s are bases. She means \(\log_{2} 5  \frac{1}{2} \log_{2} 169\)
 one year ago

coolaidd Group TitleBest ResponseYou've already chosen the best response.0
25 and 338?
 one year ago

jbovey Group TitleBest ResponseYou've already chosen the best response.0
ohhhh sorry about that, thanks @geoffb
 one year ago

geoffb Group TitleBest ResponseYou've already chosen the best response.1
No problem. :)
 one year ago

jbovey Group TitleBest ResponseYou've already chosen the best response.0
wait so wouldnt that make 5 and 169 the exponents? @geoffb
 one year ago

geoffb Group TitleBest ResponseYou've already chosen the best response.1
No, it wouldn't.
 one year ago

geoffb Group TitleBest ResponseYou've already chosen the best response.1
You would just need to maintain base 2. It's nice because both logs use base 2.
 one year ago

campbell_st Group TitleBest ResponseYou've already chosen the best response.1
just a quick point on your first question... \[\frac{1}{3}\log(729) = \log(\sqrt[3]{729}) = \log(9)\] so then \[\log(9) + \frac{1}{3}\log(729) = \log(9) + \log(9) = \log(9 \times 9) = \log(81).. or... 2\log(9)\] just a suggestion... when compared to \[\log(\sqrt[3]{6561})\] not quite the same things...
 one year ago

geoffb Group TitleBest ResponseYou've already chosen the best response.1
So, like you said, you could start by moving the 1/2 up as an exponent. $$\large \log_{2} 5  \frac{1}{2} \log_{2} 169 = \log_{2} 5  \log_{2} 169^{\frac{1}{2}} = \log_{2} (\frac{5}{13})$$
 one year ago

jbovey Group TitleBest ResponseYou've already chosen the best response.0
Thanks bro @campbell_st I was close lol
 one year ago

coolaidd Group TitleBest ResponseYou've already chosen the best response.0
ok..so would that be the final answer @geoffb ?
 one year ago

jbovey Group TitleBest ResponseYou've already chosen the best response.0
yeah thats the answer @coolaidd
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.