Question and Answers Forum

All Questions      Topic List

Algebra Questions

Previous in All Question      Next in All Question      

Previous in Algebra      Next in Algebra      

Question Number 68721 by ahmadshah last updated on 15/Sep/19

Commented by Prithwish sen last updated on 15/Sep/19

$$3$$

Answered by $@ty@m123 last updated on 15/Sep/19

$$\log {}_{2}3\times \log {}_{3}4\times \log {}_{4}5\times \log {}_{5}6\times \log {}_{6}7\times \log {}_{7}8$$$$=\frac{{\log }_{3}4}{{\log }_{3}2}\times \frac{{\log }_{5}6}{{\log }_{5}4}\times \frac{{\log }_{7}8}{{\log }_{7}6}$$$$={\log }_{2}4\times {\log }_{4}6\times {\log }_{6}8$$$$={\log }_{2}4\times \frac{{\log }_{6}8}{{\log }_{6}4}$$$$={\log }_{2}4\times {\log }_{4}8$$$$={\log }_{2}4\times {\log }_4{2}^3$$$$={\log }_{2}4\times {3\log }_{4}2$$$$={\log }_{2}4\times \frac{3}{{\log }_{2}4}$$$$=3$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com