Question and Answers Forum

All Questions      Topic List

Logarithms Questions

Previous in All Question      Next in All Question      

Previous in Logarithms      Next in Logarithms      

Question Number 105269 by malwaan last updated on 27/Jul/20

a;b;c are real numbers  1<b<c^2 <a^(10)   log_a b+2log_b c+5log_c a=12  prove that  2log_a c+5log_c b+10log_b a≥21

$${a};{b};{c}\:{are}\:{real}\:{numbers} \\ $$ $$\mathrm{1}<{b}<{c}^{\mathrm{2}} <{a}^{\mathrm{10}} \\ $$ $${log}_{{a}} {b}+\mathrm{2}{log}_{{b}} {c}+\mathrm{5}{log}_{{c}} {a}=\mathrm{12} \\ $$ $${prove}\:{that} \\ $$ $$\mathrm{2}{log}_{{a}} {c}+\mathrm{5}{log}_{{c}} {b}+\mathrm{10}{log}_{{b}} {a}\geqslant\mathrm{21} \\ $$

Terms of Service

Privacy Policy