I would love to solve this equation but unfortunately, it has no solution
the reason it has no solution is that that we want raise positive numbers to a certain power to get a negative number
note that [tex]a^b\geq 0[/tex] when a≥0 and b is a real number
let's say that 3ˣ=a, 9ˣ=b, and 27ˣ=c
therefore, since [tex]3^x\geq 0[/tex], [tex]9^x\geq 0[/tex], and [tex]27^x\geq 0[/tex], a≥0, b≥0, and c≥0
also, a+b+c≥0 by logic
if [tex]3^x+9^x+27^x=a+b+c[/tex] and [tex]3^x+9^x+27^x=-7[/tex] and a+b+c≥0 and then we get [tex]-7 \geq 0[/tex] which is a false statement
therefore, there is no real solution
