<span>3(2 + 1.5x) = 0.5x + 24</span>
Решение
sin^6(a)+cos⁶(a) = (sin²a)³ + (cos²a)³ =
(sin²a + cos²a)*(sin⁴a - sin²acos²a + cos⁴a) =
= [(sin⁴a + 2sin²acos²a + cos⁴a) - 3sin²acos²a] =
(sin²a + cos²a)² - 3sin<span>²acos²a =
= 1 - </span>3sin²acos²a = 1 - (3/4)*(2sinacosa)*(<span>2sinacosa) =
= 1 - (3/4)*(sin</span>²2a) = 1 - [(1 - cos4a)/2] =
= 1 - 3/8 + (3/8)*cos4a = 5/8 + <span> (3/8)*cos4a = (1/8)*(3cos4a + 5)</span>
3log(1/3) log(3)x + log(3)log(3)x = -2 ОДЗ x>0 log3 x >0 x>1
3log(3^-1) log(3)x + log(3)log(3)x = -2
-3log(3) log(3)x + log(3)log(3)x = -2
-2 log(3)log(3)x = -2
log(3)log(3)x = 1
log(3) x = 3
x=3^3=27
1*2, 2*2, 3*2, 4*2
4*10*10=400 возможных вариантов