What is the answer to \sqrt[4]{(x-3)^5}=32 ?

The answer to \sqrt[4]{(x-3)^5}=32 is x=19

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\sqrt[4]{(x-3)^5}=32

x = 19

Solution steps

Take both sides of the equation to the power of

4 : x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243 = 1048576

x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243 = 1048576

Solve

x^{5} - 15 x^{4} + 90 x^{3} - 270 x^{2} + 405 x - 243 = 1048576 : x = 19

x = 19

Verify Solutions:

x = 19

True

The solution is

x = 19

1 - p = - 8 - 2 p

4 x + 9 + 3 = x

x, 2 + x = x

y, x = 1 + 2 + 3 y

x + 72 = x

What is the answer to \sqrt[4]{(x-3)^5}=32 ?
The answer to \sqrt[4]{(x-3)^5}=32 is x=19
Solve for x: \sqrt[4]{(x-3)^5}=32
The solution is x=19