Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
\[\log_{4} x=1+\log_{2} 2x, x>0\]
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
i guess we must solve for x
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
@experimentX do u understand?
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
yeah ... solve for x.
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
use this property of log \[ \log_a b = \frac{\log_kb}{\log_k a}\]
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
i still dont get it sorry
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
sorry ... error there \[ \log_4x = \frac{\log_2k}{\log_24} = \frac{\log_2k}{2} \]
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
Oops ... error again, that k is supposed to be x
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
if you know other few properties of log then it's should be easy for you!!
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
\[ \frac{\log_2x}{2} = \log_22 + \log_22x\] \[ \implies \log_2x = 2\log_22 + 2\log_22x \] \[ \implies \log_2x = \log_22^2 + \log_2(2x)^2 \] \[ \implies \log_2x = \log_2(2^2*(2x)^2) \] \[ \implies x = 2^2*(2x)^2 \]
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
\[ \implies x = \frac{1}{16} \]
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
@experimentX thanks
 2 years ago

experimentX Group TitleBest ResponseYou've already chosen the best response.0
yw ... though not sure about answer!! check on wolframalpha!!
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
its correct
 2 years ago

GoldRush18 Group TitleBest ResponseYou've already chosen the best response.0
because these are past papers they tell us the answer but they dont show us how to get it
 2 years 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.