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

86 \cdot 1 0^{\frac{x}{4}} = 89

3^{4 x - 7} = \frac{3 ^{2 x}}{3}

y, x = e^{7 y}

6^{x^{2} - 1} = 6^{1 - x^{2}}

k, 0.53658 \dots = e^{7 k}

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