Question

Помогите срочно Алгебра

Answer 1

cвойства степеней: 
$a^b*a^c = a^{b+c}$
$a^{-1} = \frac{1}{a}$
$(a^c)^b=a^{ac}$

$log_{2}(3+x)=log_{2}16; 3+x=16;x=13$
$log_{8}(6+8x)=log_{8}1; 6+8x=1;8x=-5;x=- \frac{5}{8}$
$5^{0,25}*5^{0,75} = 5^{0,25+0,75} =5^1 = 5$
$2^{x+1} = (2^{-5})^{x-3}; 2^{x+1}=2^{15-5x}; 6x = 14; x = \frac{7}{3}$
$(9^{-3})^{5x-8} = 9^x; 24-15x=x; 16x=24; x = \frac{24}{16} = \frac{3}{2}$
$x^2-9x+14 = 0$
$D = 81 -56 = 25 = 5^2$
$x_{1} = \frac{9+5}{2} =7$
$x_{2} = \frac{9-5}{2} = 2$

$6x-24+3x^2=2x^2-x$
$x^2-5x-24 = 0$
$D = 121 = 11^2$
$x_{1}= \frac{5+11}{2} =8$
$x_{2}= \frac{5-11}{2} = -3$