Log5 (x)*log3 (x)=9log5 (3)

Question

Log5 (x)*log3 (x)=9log5 (3)

Answer 1

Ответ в приложении &/$#@&$#@

Answer 2

ОДЗ x>0
log(3)x=9log(5)3/log(5)x
log(3)x=9log(x)3
log(3)x=9/log(3)x
log²(3)(x)=9
log²(3)x-9=0
(log(3)x-3)(log(3)x+3)=0
log(3)x=-3;x=1/27 U log(3)x=3;x=27

Comments

log(3)x=-3;x=1/27 U log(3)x=3;x=27