What is the answer to 4^{3x}=16^{2-x} ?

The answer to 4^{3x}=16^{2-x} is x= 4/5

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4^{3x}=16^{2-x}

4^{3 x} = 1 6^{2 - x}

x = \frac{4}{5}

Solution steps

4^{3 x} = 1 6^{2 - x}

Apply exponent rules

3 x = 2 (2 - x)

Solve

3 x = 2 (2 - x) : x = \frac{4}{5}

x = \frac{4}{5}

4^{x} = 2^{\frac{8}{x}}

5^{x} = \frac{2}{5}

x, x e^{y} + y e^{x} = 2

(\frac{1}{2})^{x} = 0.0625

5^{5 x + 2} = 45