Question

Решите пожалуйста логарифм

Answer 1

1.1/2log6 16-log6 1/9=log6 16^1/2-log6 1/9=log6 4-log69^(-1)=log6 4+log6 9=log6 (4*9)=log6 36=log6 6^2=2log6 6=2
2.log3 12-log3 7*log3 5/log3 7*log3 4/log 3 5=log3 12-log3 4=log3(12/4)=log3 3=1

Answer 2

log_36 16 - log_6 1/9 = log_36 16 + log_6 9 = ln16/ln36 + ln9/ln6 = 2ln4/2ln6 +2ln3/ln6 =(ln4+2ln3)/ln6 = ln(4*3^2)/ln6 = ln36/ln6 = 2ln6/ln6 = 2

log_3 12 - log_3 7 log_7 5 log_5 4 = ln12/ln3 - ln7/ln3 * ln5/ln7 * ln4/ln5 = ln12/ln3 - ln4/ln3 = (ln4+ln3)/ln3 - ln4/ln3 = ln3/ln3 = 1