Question

what is the solution of the equation?

(x+6) to the 3/5 =8

Answer 1

\[(x+6)^{3/5}=8\]

Answer 2

x+6

Answer 3

answer: 14, 2 ,26 ,38

Answer 4

(x+6)^(3/5) = 8

(x+6)^(3) = 8^5

x+6 = 8^(5/3)

x = 8^(5/3) - 6

Answer 5

Let me know if you need further explanation @shanay_94

Answer 6

i do

Answer 7

What's confusing?

Answer 8

like i dont get the raising to the power thing

Answer 9

\[(x^a)^b = x^{a*b}\]

Answer 10

so we can take

(x+6)^(3/5) = 8

and put that to the fifth power on both sides:

((x+6)^(3/5))^5 = 8^5

using the identity i stated, this can simplify to

(x+6)^((3/5) * 5) = 8^5

which simplifies to

(x+6)^3 = 8^5

Answer 11

then you can use the same process by putting both sides to the 1/3 power (cube root)

to get

x+6 = (8^5)^(1/3)

x+6 = 8^(5/3)