What is the answer to x^{0.7}=x^{0.3} ?

The answer to x^{0.7}=x^{0.3} is x=0,x=1

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x^{0.7}=x^{0.3}

x^{0.7} = x^{0.3}

x = 0, x = 1

Solution steps

x^{0.7} = x^{0.3}

Move

x^{0.3}

to the left side

x^{0.7} - x^{0.3} = 0

Factor

x^{0.7} - x^{0.3} : x^{0.3} (x^{0.4} - 1)

x^{0.3} (x^{0.4} - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x^{0.3} = 0 or x^{0.4} - 1 = 0

Solve

x^{0.3} = 0 : x = 0

Solve

x^{0.4} - 1 = 0 : x = 1, x = - 1

x = 0, x = 1, x = - 1

Verify Solutions:

x = 0

True

, x = 1

True

, x = - 1

False

The solutions are

x = 0, x = 1

x^{\frac{1}{10}} = 2

x - 36 - 8 = 0

w = 8

x^{0.01} = 100

- x + 0.9 = 1

What is the answer to x^{0.7}=x^{0.3} ?
The answer to x^{0.7}=x^{0.3} is x=0,x=1
Solve for x: x^{0.7}=x^{0.3}
The solution is x=0,x=1