1
11^log(1/11)1/16=(1/11)^log(1/11)16=16
ответ 2
2
(log(7)18+log(7)4-log(7)9)*7^log(7)log(8)7=log(7)(18*4/9)*log(8)7=
=log(7)8*1/log(7)8=1
ответ 3
3
3log(3)2*log(4)3*log(5)4/(log(5)24-log(5)12)=
=3*log(5)2/log(5)3 *log(5)3/log(5)4 *log(5)4 :log(5)(24/12)=3log(5)2/log(5)2=3
ответ 4
4
1)(5²)^1/3*log(5)8*(5²)^2log(5)3=5^2/3*log(5)8*5^4log(5)3=
=5^log(5)4*5^log(5)81=5^(log(5)4+log(5)81)=5^log(5)(4*81)=
=5^log(5)324=324
2)(5²)^2log(5)2*(5²)^1/3*log(5)27=5^4log(5)2*5^2/3*log(5)27=
=5^log(5)16*5^log(5)9=5^(log(5)16+log(5)9)=5^log(5)(16*9)=5^log(5)144=
=144
3)(5²)^log(5)2*25=5^log(5)4 * 25=4*25=100
4)25²:5^2log(5)2=625:5^log(5)4=625/4
ответ 2