Question

помогите решить,пожалуйста

Answer 1

$log_{(x+3)^2}(x^2-7x+15)=frac{1}{2}, \ left{begin{array}{c}(x+3)^2 textgreater 0,\(x+3)^2neq1\x^2-7x+15 textgreater 0,end{array}right. left{begin{array}{cc}x+3neq0,\|x+3|neq1,\xin R,& (a=1 textgreater 0, D=-11 textless 0)end{array}right. \ left{begin{array}{c}x+3neq0,\x+3neq1,\x+3neq-1end{array}right. left{begin{array}{c}xneq-3,\xneq-2,\xneq-4.end{array}right. \ frac{1}{2}log_{(x+3)}(x^2-7x+15)=frac{1}{2}, \ frac{1}{2}log_{(x+3)}(x^2-7x+15)=1, \ x^2-7x+15=x+3, \ x^2-8x+12=0, \ x_1=2, x_2=6.$