Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing
swiftskier96
Group Title
Help!?!?!?!?
15. Write the equation in logarithmic form.
125^(4/3) = 625
 one year ago
 one year ago
swiftskier96 Group Title
Help!?!?!?!? 15. Write the equation in logarithmic form. 125^(4/3) = 625
 one year ago
 one year ago

This Question is Closed

swiftskier96 Group TitleBest ResponseYou've already chosen the best response.0
15. Write the equation in logarithmic form. 125^(4/3) = 625
 one year ago

ParthKohli Group TitleBest ResponseYou've already chosen the best response.0
\[\textbf{HINT}\]\[a^b=c \iff \log_a c = b\]
 one year ago

tkhunny Group TitleBest ResponseYou've already chosen the best response.0
\(\log_{b}(a) = c \iff b^{c} = a\) Really, that's it. \(\log_{125}(625) = 4/3 \iff 125^{(4/3)} = 625\) It's not pretty, but there it is.
 one year ago

swiftskier96 Group TitleBest ResponseYou've already chosen the best response.0
So my answer would be log_125(625)?
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.7
Remember: The log is the exponent. So in your example, the log is 4/3. So we can write: \[\log = 4/3 \]
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.7
Now clearly the base is 125 so we can write: \[\log_{125}= 4/3 \]
 one year ago

Mertsj Group TitleBest ResponseYou've already chosen the best response.7
That leaves only one place for the 625: \[\log_{125}625=4/3 \]
 one year ago

swiftskier96 Group TitleBest ResponseYou've already chosen the best response.0
Thanks!!! @Mertsj
 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.