Solve the equations: 3^x+9^x+27^x=−7

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 when a≥0 and b is a real number

let's say that 3ˣ=a, 9ˣ=b, and 27ˣ=c

therefore, since , , and , a≥0, b≥0, and c≥0

also, a+b+c≥0 by logic

if and and a+b+c≥0 and then we get which is a false statement

therefore, there is no real solution

a² + b²= c²

24² + 7² = c²

c= 25

$6.42

step-by-step explanation: