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log-2-20-2-log-2-5-2-log-2-10-




Question Number 197312 by mathlove last updated on 13/Sep/23
(((log_2 20)^2 −(log_2 5)^2 )/(log_2 10))=?
(log220)2(log25)2log210=?
Answered by som(math1967) last updated on 13/Sep/23
4
4
Commented by som(math1967) last updated on 13/Sep/23
 (((log_2 20+log_2 5)(log_2 20−log_2 5))/(log_2 10))  =((log_2 100×log_2 4)/(log_2 10))  =((2log_2 10×2log_2 2)/(log_2 10))  =4
(log220+log25)(log220log25)log210=log2100×log24log210=2log210×2log22log210=4

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