What is the answer to 0.25^{x-4}=0.5^{-2x+1} ?

The answer to 0.25^{x-4}=0.5^{-2x+1} is x= 9/4

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0.25^{x-4}=0.5^{-2x+1}

0.2 5^{x - 4} = 0. 5^{- 2 x + 1}

x = \frac{9}{4}

Solution steps

0.2 5^{x - 4} = 0. 5^{- 2 x + 1}

(\frac{1}{4})^{x - 4} = 0. 5^{- 2 x + 1}

Apply exponent rules

2 (x - 4) = - 2 x + 1

Solve

2 (x - 4) = - 2 x + 1 : x = \frac{9}{4}

x = \frac{9}{4}

2^{n} = 1 0^{6}

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

2^{x} = 2048

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

x^{3} = 3^{x}

What is the answer to 0.25^{x-4}=0.5^{-2x+1} ?
The answer to 0.25^{x-4}=0.5^{-2x+1} is x= 9/4
Solve for x: 0.25^{x-4}=0.5^{-2x+1}
The solution is x= 9/4