Question

Log2/3 9/4=x+3 ????????????????

Answer 1

`log_{(2)/(3)}(9)/(4)=x^3\\ \\ \left((2)/(3)\right)^x+3=(9)/(4)\\ \\ \left((2)/(3)\right)^(x+3)=\left((2)/(3)\right)^(-2)\\ \\ x+3=-2\\ \\ x=-2-3\\ \\ \boxed{x=-5}`

Answer 2

`log_{ (2)/(3) } (9)/(4) =x+3\\\\log_{ (2)/(3) }( (2)/(3))^(-2) =x+3\\\\-2=x+3\\\\-x=3+2\\\\-x=5\ /\cdor(-1)\\\\x=-5`