Упр.275 ГДЗ Алимов 10-11 класс (Алгебра)

2) (1/2)^(6log1/2(2));
3) 0,3^(2log0,3(6));
4) 7^(1/2log7(9)).

1. $$3^{5\log_3 2}=\left(3^{\log_3 2}\right)^5=2^5=32.$$

2. $$\left(\frac12\right)^{6\log_{1/2} 2}=\left(\left(\frac12\right)^{\log_{1/2} 2}\right)^6=2^6=64.$$

3. $$0{,}3^{2\log_{0{,}3} 6}=\left(0{,}3^{\log_{0{,}3} 6}\right)^2=6^2=36.$$

4. $$7^{\frac12\log_7 9}=\left(7^{\log_7 9}\right)^{\frac12}=9^{\frac12}=3.$$

Ответ

1) $$32$$; 2) $$64$$; 3) $$36$$; 4) $$3$$.