A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Express the following in terms of log x.
log x^3/2 + log cube root of x
I don't know how to solve this, please help!
anonymous
 one year ago
Express the following in terms of log x. log x^3/2 + log cube root of x I don't know how to solve this, please help!

This Question is Closed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\log x ^{\frac{ 3 }{ 2 }} + \log \sqrt[3]{x}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0another one i am stuck on: \[3 \log x + \log x ^{3}\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0familiar with the log rules ?

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0quotient rule\[\large\rm log_b x  \log_b y = \log_b \frac{ x }{ y}\] to condense you can change subtraction to division product rule \[\large\rm log_b x + \log_b y = \log_b( x \times y )\] addition > multiplication power rule \[\large\rm log_b x^y = y \log_b x\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0\(\color{blue}{\text{Originally Posted by}}\) @Zas \[\log x ^{\frac{ 3 }{ 2 }} + \log \sqrt[3]{x}\] \(\color{blue}{\text{End of Quote}}\) there is plus sign so which rule would you apply ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So you would multiply them?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1use the multiplication rule: \(\sf \log(a) + \log(b) = \log(a\cdot b)\) First start by changing \(\sf \log\sqrt[3]{x}\) into a cubic power. : \(\sf \log(x)^{1/3}\) Now apply multiplication property: \(\log(x)^{3/2} + \log(x)^{1/3} = \log(x^{3/2} \cdot x^{1/3}) =\log(x^{3/2 +1/3})\)

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1What is \(\dfrac{3}{2} +\dfrac{1}{3}\) ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.011/6, thank you so much!
Ask your own question
Sign UpFind more explanations on OpenStudy
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.