anonymoususer123 anonymoususer123

15-01-2021
Mathematics

contestada

Solve.
Enter any fraction as a simplified fraction.

[tex](5\sqrt{5})^{-2x+1} = \frac{1}{5} * 125^{x-3}[/tex]

$Solve Enter any fraction as a simplified fraction tex5sqrt52x1 frac15 125x3tex class=$

Respuesta :

ChoiSungHyun ChoiSungHyun

15-01-2021

Step-by-step explanation:

(5√5)^(1-2x) = 1/5 * 125^(x-3)

(5^1.5)^(1-2x) = 5^(-1) * 125^x / 125^3

5^1.5 / 5^3x = 5^(-1) * 5^(3x) / 5^9

5^1.5 / 5^3x = 5^(3x) * 5^(-10)

5^(1.5 - 3x) = 5^(3x - 10)

=> 1.5 - 3x = 3x - 10

=> 6x = 11.5

=> x = 23/12.

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