Question

помогите решить log 2(x+3)=log3(2x-15)

Answer 1

$log_{2}(x+3)=log_{3}(2x-15)$
$frac{log_{3}(x+3)}{log_{3} 2}=log_{3}(2x-15) \ log_{3}(x+3)-log_{3} 2=log_{3}(2x-15)$
$log_{3}(x+3)-log_{3}(2x-15)=log_{3} 2 \ log_{3} frac{x+3}{2x-15} =log_{3}2 \ frac{x+3}{2x-15} =2 \ (x neq frac{15}{2} ) x+3=4x-30 \ 3x=33 \ x=11$