What is the answer to 3sqrt(3)\sqrt[3]{3}=3^n ?

The answer to 3sqrt(3)\sqrt[3]{3}=3^n is n= 11/6

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3sqrt(3)\sqrt[3]{3}=3^n

n = \frac{11}{6}

Decimal Notation

n = 1.83333 \dots

Solution steps

Apply exponent rules

\frac{11}{6} = n

Switch sides

n = \frac{11}{6}

16 (4^{2 x}) + 63 (4^{x}) - 4 = 0

5^{x + 2} + 5^{2 x + 2} - 50 = 0

(- 9)^{(1 - 2 x)} = 3^{- 4}

8^{x + 3} = 3 2^{3 x}

7^{z^{2} + 4} = 7^{- 4 z}

What is the answer to 3sqrt(3)\sqrt[3]{3}=3^n ?
The answer to 3sqrt(3)\sqrt[3]{3}=3^n is n= 11/6
Solve for n: 3sqrt(3)\sqrt[3]{3}=3^n
The solution is n= 11/6