What is the answer to x=100x^{0.72} ?

The answer to x=100x^{0.72} is x=0,x=1000000*100^{4/7}

Solve for x: x=100x^{0.72}

The solution is x=0,x=1000000*100^{4/7}

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x = 100 x^{0.72}

x = 0, x = 1000000 \cdot 10 0^{\frac{4}{7}}

Decimal Notation

x = 0, x = 13894954.94373 \dots

Solution steps

x = 100 x^{0.72}

Use the following exponent property

: a^{n} = (a^{\frac{1}{m}})^{(n \cdot m)}

x^{0.72} = (x^{\frac{1}{25}})^{(0.72 \cdot 25)}

(x^{\frac{1}{25}})^{25} = 100 (x^{\frac{1}{25}})^{18}

Rewrite the equation with

x^{\frac{1}{25}} = u

u^{25} = 100 u^{18}

Solve

Substitute back

u = x^{\frac{1}{25}},

solve for

x

Solve

x^{\frac{1}{25}} = 0 : x = 0

Solve

x = 0, x = 1000000 \cdot 10 0^{\frac{4}{7}}

Verify Solutions:

x = 0

True

, x = 1000000 \cdot 10 0^{\frac{4}{7}}

True

The solutions are

x = 0, x = 1000000 \cdot 10 0^{\frac{4}{7}}

x^{2} - 2 x + 1 = 5 + 2 x

5 = 12 - 14 - 5 x

\frac{1}{3 x ^{8.3} + 2} = 27

x^{2} + 16 = 25

\frac{3 x}{2} = 3

What is the answer to x=100x^{0.72} ?
The answer to x=100x^{0.72} is x=0,x=1000000*100^{4/7}
Solve for x: x=100x^{0.72}
The solution is x=0,x=1000000*100^{4/7}