What is the answer to 2^x*8^{1-x}= 1/4 ?

The answer to 2^x*8^{1-x}= 1/4 is x= 5/2

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2^x*8^{1-x}= 1/4

2^{x} \cdot 8^{1 - x} = \frac{1}{4}

x = \frac{5}{2}

Solution steps

2^{x} \cdot 8^{1 - x} = \frac{1}{4}

Apply exponent rules

x + 3 (1 - x) = - 2

Solve

x + 3 (1 - x) = - 2 : x = \frac{5}{2}

x = \frac{5}{2}

(\frac{2}{3})^{x} = \frac{27}{8}

1 0^{- x} = 4

5^{2 x - 3} = 1

2^{x} = 1 0^{13}

1 0^{3 x} = \frac{1}{10000}

What is the answer to 2^x*8^{1-x}= 1/4 ?
The answer to 2^x*8^{1-x}= 1/4 is x= 5/2
Solve for x: 2^x*8^{1-x}= 1/4
The solution is x= 5/2