What is the answer to \sqrt[3]{2\sqrt[3]{2\sqrt[3]{2}}}=2^x ?

The answer to \sqrt[3]{2\sqrt[3]{2\sqrt[3]{2}}}=2^x is x= 13/27

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\sqrt[3]{2\sqrt[3]{2\sqrt[3]{2}}}=2^x

x = \frac{13}{27}

Decimal Notation

x = 0.48148 \dots

Solution steps

Apply exponent rules

\frac{13}{27} = x

Switch sides

x = \frac{13}{27}

\frac{3 ^{2 x + 5}}{9} = 3^{x + 1}

1 7^{X + 8} = 1 7^{10}

26214 4^{4 x + 6} = 409 6^{- x - 15}

16 = 1 0^{2 + 3 x}

7^{2 + x} = 1.4 \cdot 5^{2 + x}

What is the answer to \sqrt[3]{2\sqrt[3]{2\sqrt[3]{2}}}=2^x ?
The answer to \sqrt[3]{2\sqrt[3]{2\sqrt[3]{2}}}=2^x is x= 13/27
Solve for x: \sqrt[3]{2\sqrt[3]{2\sqrt[3]{2}}}=2^x
The solution is x= 13/27