Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.
Sagot :
Answer:
- C. - 6
Step-by-step explanation:
- log₂(1/64) =
- log₂(1/2⁶) =
- log₂(2⁻⁶) =
- -6
Correct choice is C
Answer:
-6
Step-by-step explanation:
Given expression:
[tex]\log_2\left(\dfrac{1}{64}\right)[/tex]
[tex]\textsf{Apply the log quotient law}: \quad \log_a\frac{x}{y}=\log_ax - \log_ay[/tex]
[tex]\implies \log_21-\log_264[/tex]
[tex]\textsf{Apply log law}: \quad \log_a1=0[/tex]
[tex]\implies 0-\log_264[/tex]
[tex]\implies -\log_264[/tex]
Rewrite 64 as 2⁶:
[tex]\implies -\log_2(2^6)[/tex]
[tex]\textsf{Apply the log power law}: \quad \log_ax^n=n\log_ax[/tex]
[tex]\implies -6\log_22[/tex]
[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]
[tex]\implies -6 \cdot 1[/tex]
[tex]\implies -6[/tex]
Learn more about log laws here:
https://brainly.com/question/27963321
https://brainly.com/question/27953288
Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.