Вариант 2
1.
log3 27=log3 3^3=3
3^x=27
3^x=3^3
x=3
2.
log49 7=log7^2 7=1/2
3.
log4 8=x=3/2
2^2x=2^3
4.
log1/27 3=x=-1/3
3^-3x=3
5.
log5 ∛5=1/3
6.
27^log3^2=(3^log3^2)^3=2^3=8
7.
log√27 9=x=4/3
(√27)^x=9; (27^1/3)^x=9
3^3/2x=3^2; x=2*2/3=4/3
8.
log1/2 2√2=x=-3/2
2^-x=2^3/2
x=-3/2
Вариант 3
1.
log5 125=3
2.
log16 2=log2^4 2=1/4
3.
log27 9=x=2/3
363X=3^2; x=2/3
4.
log1/3 1/27=3
5.
log4 2^1/2=x=1/4
2^2x=2^1/2; x=1/4
6.
9^-log3 4= (3^log3 4)^-2=4^-2=1/16
7.
log16 √2=x=1/8
2^4x=2^1/2; x=1/8
8.
log4 1/2√2=x=-3/4
2^2x=2^-3/2; x=-3/4