Question

помогите решить,пожалуйста

Answer 1

$7 {}^{2x} times 7 {}^{3} - 2 {}^{2x} times 2 {}^{6} - 3 times 7 {}^{2x} times {}^{2} + 2 {}^{2x} times 2 {}^{3} = 0 \ 7 {}^{2x} times 343 - 2 {}^{2x} times 64 - 3 times 7 {}^{2x} times 49 + 2 {}^{2x} times 8 = 0 \ 343 times 7 {}^{2x} - 64 times 2 {}^{2x} - 147 times 7 {}^{2x} + 8 times 2 {}^{2x} = 0 \ 196 times 7 {}^{2x} - 56 times 2 {}^{2x} = 0 \ 196 times 7 {}^{2x} = 56 times 2 {}^{2x} \ 196 times ( frac{7}{2} ) {}^{2x} = 56 \ ( frac{7}{2} ) {}^{2x} = frac{2}{7} \ ( frac{7}{2} ) {}^{2x} = ( frac{7}{2} ) {}^{ - 1} \ 2x = - 1 \ x = - frac{1}{2}$