What is the answer to 0.65x^{0.9}xx=4500 ?

The answer to 0.65x^{0.9}xx=4500 is x=((4500)/(0.65))^{10/29}

Solve for x: 0.65x^{0.9}xx=4500

The solution is x=((4500)/(0.65))^{10/29}

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0.65 x^{0.9} xx = 4500

x = (\frac{4500}{0.65})^{\frac{10}{29}}

Decimal Notation

x = 21.09799 \dots

Solution steps

0.65 x^{0.9} xx = 4500

Expand

0.65 x^{0.9} xx : 0.65 x^{0.9} x^{2}

0.65 x^{0.9} x^{2} = 4500

Use the following exponent property

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

x^{0.9} = (x^{\frac{1}{10}})^{(0.9 \cdot 10)}, x^{2} = (x^{\frac{1}{10}})^{(2 \cdot 10)}

0.65 (x^{\frac{1}{10}})^{9} (x^{\frac{1}{10}})^{20} = 4500

Rewrite the equation with

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

0.65 u^{9} u^{20} = 4500

Solve

Substitute back

u = x^{\frac{1}{10}},

solve for

x

Solve

x = (\frac{4500}{0.65})^{\frac{10}{29}}

Verify Solutions:

x = (\frac{4500}{0.65})^{\frac{10}{29}}

True

The solution is

x = (\frac{4500}{0.65})^{\frac{10}{29}}

- 3 + x = 30 - 2 x

10 x^{\frac{1}{4}} = 20

(x^{2} - 16)^{\frac{1}{2}} = 3

x + 30 = 0

What is the answer to 0.65x^{0.9}xx=4500 ?
The answer to 0.65x^{0.9}xx=4500 is x=((4500)/(0.65))^{10/29}
Solve for x: 0.65x^{0.9}xx=4500
The solution is x=((4500)/(0.65))^{10/29}