Math  /  Algebra

QuestionIdentify which statements are correct:
I: (log2x)12=12log2x(\log_{2} x)^{\frac{1}{2}}=\frac{1}{2} \log_{2} x II: log3xlog3y=log3xlog3y\frac{\log_{3} x}{\log_{3} y}=\log_{3} x-\log_{3} y III: log5(xy2)=log5x+2log5y\log_{5}(x y^{2})=\log_{5} x+2 \log_{5} y

Studdy Solution
The left side of the equation is log5(xy2)\log{5}\left(x y^{2}\right). This is equal to log5xy2\log{5} x \cdot y^2. Therefore, the third statement is correct.
The correct statement is III.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord