What is the answer to (1/2)^x=\sqrt[3]{4} ?

The answer to (1/2)^x=\sqrt[3]{4} is x=-2/3

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(1/2)^x=\sqrt[3]{4}

x = - \frac{2}{3}

Solution steps

Apply exponent rules

- x = \frac{2}{3}

Solve

- x = \frac{2}{3} : x = - \frac{2}{3}

x = - \frac{2}{3}

8^{x + 1} \cdot 2^{2 x} = 4^{3 x - 1}

3^{7 - 2 x} = (\frac{1}{27})^{- 8}

73 = 2 3^{x}

9^{x + 1} + 3 = 28 \cdot 3^{x}

4 9^{x} = 7

What is the answer to (1/2)^x=\sqrt[3]{4} ?
The answer to (1/2)^x=\sqrt[3]{4} is x=-2/3
Solve for x: (1/2)^x=\sqrt[3]{4}
The solution is x=-2/3