2^log2 30 - 1 = 2^log2 30 - log2 2 = 2^ log2 30÷2 = 2^log2 15 = 15
5^log5 2 + log5 3 = 5^log5 2·3= 5^log5 6 = 6
Sin(π/3+α)+sin(π/3-α)=
=sin(π/3)·cosα+cos(π/3)·sinα+sin(π/3)·cosα-cos(π/3)·sinα=
=2sin(π/3)·cosα=2·(√3/2)·cosα=√3·cosα;
0,0002*200*2000 = 0,04*2000 = 80
27⁷+3¹⁸=3²¹+3¹⁸=3¹⁸(3³+1)=3¹⁸*28 кратно 7.
16⁶-2²⁰=2²⁴-2²⁰=2²⁰(2⁴-1)=2¹⁰*15 кратно 15.
6⁴-4⁵=2⁴*3⁴-2¹⁰=2⁴(3⁴-2⁶)=2⁴(81-64)=2⁴*17 кратное 17.
Решение задания приложено