№1 . log 2 1/3 + log 4 9 log корень 3 3 корень 2 +log 3 1/2 log 25 9 - log 5 3 log 16 4 -...

Question

№1 .
log 2 1/3 + log 4 9
log корень 3 3 корень 2 +log 3 1/2
log 25 9 - log 5 3
log 16 4 - log 4 8
№2 .
log 4 x + log 16 x + log 2 x=7
log 3 x + log корень 3 x +log 1/3 x=6
ПОМОГИТЕ ПОЖАЛУЙСТА(((

Answer 1

1
log(2)1/3+log(4)9=log(2)1/3+log2(3)=log(2)(1/3*3)=log(2)1=0
log(√3)3√2+log(3)1/2=log(√3)3√2+log(√3)1/√2=log(√3)(3√2*1/√2)=log(√3)3=2
log(25)9-log(5)3=log(5)3-log(5)3=0
log(16)4-log(4)8=1/2-log(2)8/log(2)4=1/2-3/2=-1
2
x>0
1/2*log(2)x+1/4*log(2)x+log(2)x=7
7/4*log(2)x=7
log(2)x=4
x=16

log(3)x+2log(3)x-log(3)x=6
2lof(3)x=6
log(3)x=3
x=27