Question

Уравнение
$16 ^{sinx} + 16^{sin(pi-x)} =frac{17}{4}$

Answer 1

1) sin (pi - x) = sin x

2) $16^{sin(x)} + 16^{sin(x)}=2*16^{sin(x)} = frac{17}{4}$
$16^{sin(x)}= frac{17}{8}$
$sin(x)=log_{16}(17/8)$
$x=(-1)^k*arcsin(log_{16}(17/8))+ pi *k$