What is the answer to 2^x*4^x=8^{1/3} ?

The answer to 2^x*4^x=8^{1/3} is x= 1/3

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2^x*4^x=8^{1/3}

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

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

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

Apply exponent rules

x = \frac{1}{3}

3^{x} + 1 = 4

3 \cdot 2^{x} = 15

(\frac{3}{4})^{1 - 3 x} = \frac{210}{27}

x, 7 7^{x} + 8 8^{y} = 6776

x, 9^{x - 1} = 24 3^{y + 2}