Question

2. log 7(X+3)= log 7(X²+45)

Answer 1

$2.\log_7(x+3)=\log_7(x^2+45) \\ \\ sobe~~o ~~2 \\ \\ \log_7(x+3)^2=\log_7(x^2+45) \\ \\ (x+3)^2=x^2+45 \\ \\ x^2+6x+9=x^2+45 \\ \\ \not x^{2} -\not x^{2} +6x=45-9 \\ \\ 6x=36 \\ \\ x=36\div6 \\ \\ x=6 \\ \\ S=\{6\}$