What is the answer to xx^{12.5}=(32.6-10.4)x^5 ?

The answer to xx^{12.5}=(32.6-10.4)x^5 is x=0,x=1.44010…

Solve for x: xx^{12.5}=(32.6-10.4)x^5

The solution is x=0,x=1.44010…

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x x^{12.5} = (32.6 - 10.4) x^{5}

x = 0, x = 1.44010 \dots

Solution steps

x x^{12.5} = (32.6 - 10.4) x^{5}

Move

(32.6 - 10.4) x^{5}

to the left side

x^{12.5} x - 22.2 x^{5} = 0

Factor

x^{12.5} x - 22.2 x^{5} : x (x^{12.5} - 22.2 x^{4})

x (x^{12.5} - 22.2 x^{4}) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{12.5} - 22.2 x^{4} = 0

Solve

x^{12.5} - 22.2 x^{4} = 0 : x = 0, x = 1.44010 \dots

x = 0, x = 1.44010 \dots

Verify Solutions:

x = 0

True

, x = 1.44010 \dots

True

The solutions are

x = 0, x = 1.44010 \dots

2 x - 5 + 3 x + 1 = 2

(5 x - 2)^{\frac{1}{3}} = 2

5 x + 11 = x + 1

x - 2 x - 8 = 2

6 - 5 x - x = - 2 x

What is the answer to xx^{12.5}=(32.6-10.4)x^5 ?
The answer to xx^{12.5}=(32.6-10.4)x^5 is x=0,x=1.44010…
Solve for x: xx^{12.5}=(32.6-10.4)x^5
The solution is x=0,x=1.44010…