What is the answer to 8\sqrt[3]{2}=2^m ?

The answer to 8\sqrt[3]{2}=2^m is m= 10/3

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8\sqrt[3]{2}=2^m

m = \frac{10}{3}

Decimal Notation

m = 3.33333 \dots

Solution steps

Apply exponent rules

\frac{10}{3} = m

Switch sides

m = \frac{10}{3}

4^{x} - 9 \cdot 2^{x} + 8 = 0

e^{3 x} = 6 e^{x}

5^{x} = 12

x, e^{x} = 0

e^{2 x} - 7 e^{x} + 10 = 0

What is the answer to 8\sqrt[3]{2}=2^m ?
The answer to 8\sqrt[3]{2}=2^m is m= 10/3
Solve for m: 8\sqrt[3]{2}=2^m
The solution is m= 10/3