Math  /  Algebra

QuestionUse the properties of logarithms to rewrite and simplify the logarithmic expression log2(4234)\log _{2}\left(4^{2}-3^{4}\right) - log2(4234)=log2(42)+log2(34) Product profe \log _{2}\left(4^{2} \cdot 3^{4}\right)=\log _{2}\left(4^{2}\right)+\log _{2}\left(3^{4}\right) \quad \text { Product profe }

Studdy Solution
Simplify the arithmetic within the logarithms, if possible. Since log2(4)=2\log_2(4) = 2 because 4=224 = 2^2, substitute this value:
=22+4log2(3)= 2 \cdot 2 + 4 \cdot \log_2(3)
=4+4log2(3)= 4 + 4 \cdot \log_2(3)
The simplified expression is:
4+4log2(3)4 + 4 \cdot \log_2(3)

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