SOLUTION: Solve for x with clear steps please ∜(x-7)=2

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Question 1051657: Solve for x with clear steps please
∜(x-7)=2
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the fourth root of (x-7) is the same as (x-7)^(1/4)

equation becomes (x-7)^(1/4) = 2

raise both sides of the equation to the 4th power to get:

(x-7) = 2^4

simplify to get x - 7 = 16

add 7 to both sides to get x = 23

that's your solution.

confirm by replacing x with 23 in the original equation.

you get (23 - 7)^(1/4) = 2

simplify to get 16^(1/4) = 2

that's the same as the fourth root of 16 is equal to 2.

fourth root of 16 is equal to 2 and you get 2 = 2.

this confirms the solution is correct.

((x-7)^(1/4))^4 is the same as (x-7)^(1/4*4) which is equal to (x-7)^1 which is equal to x - 7.