What is the answer to 0.25^{2x-1}=8^{x+3} ?

The answer to 0.25^{2x-1}=8^{x+3} is x=-1

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0.25^{2x-1}=8^{x+3}

0.2 5^{2 x - 1} = 8^{x + 3}

x = - 1

Solution steps

0.2 5^{2 x - 1} = 8^{x + 3}

(\frac{1}{4})^{2 x - 1} = 8^{x + 3}

Apply exponent rules

- 2 (2 x - 1) = 3 (x + 3)

Solve

- 2 (2 x - 1) = 3 (x + 3) : x = - 1

x = - 1

e^{x^{2} - 3} = e^{x - 2}

3^{2 x} = 80

- e^{- x} + 3 e^{3 x} = 0

2^{3 x} = 8

x, e^{x} = l n x

What is the answer to 0.25^{2x-1}=8^{x+3} ?
The answer to 0.25^{2x-1}=8^{x+3} is x=-1
Solve for x: 0.25^{2x-1}=8^{x+3}
The solution is x=-1