Дано:log4 (125)=m Найти: log10 (64)

Question

Дано:log4 (125)=m
Найти: log10 (64)

Answer 1

Log(4)125=m
log(4)(1000/8)=(3-3lg2)/2lg2=m
3-3lg2=2mlg2
(2m+3)lg2=3
lg2=3/(2m+3)
lg64=6lg2=6*3/(2m+3)=18/(2m+3)