What is the answer to 2^x=(0.25)^{x-1} ?

The answer to 2^x=(0.25)^{x-1} is x= 2/3

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2^x=(0.25)^{x-1}

2^{x} = (0.25)^{x - 1}

x = \frac{2}{3}

Decimal Notation

x = 0.66666 \dots

Solution steps

2^{x} = (0.25)^{x - 1}

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

Apply exponent rules

x = - 2 (x - 1)

Solve

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

x = \frac{2}{3}

4^{x - 1} = 64

4 + 6^{2 x + 3} = 14

10. 2^{x^{2} - 4} = 320

x, e^{2 x} - 5 e^{x} + 4 = 0

2^{x} = 500

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