What is the answer to sqrt(3)^{sqrt(2)^x}=9 ?

The answer to sqrt(3)^{sqrt(2)^x}=9 is x=4

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sqrt(3)^{sqrt(2)^x}=9

3^{2^{x}} = 9

x = 4

Solution steps

(3)^{(2)^{x}} = 9

Apply exponent rules

\frac{x - 2}{2} = 1

Solve

\frac{x - 2}{2} = 1 : x = 4

x = 4

4^{x} - 6 (2^{x}) = 16

87 = 3 5^{x}

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

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

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

What is the answer to sqrt(3)^{sqrt(2)^x}=9 ?
The answer to sqrt(3)^{sqrt(2)^x}=9 is x=4
Solve for x: sqrt(3)^{sqrt(2)^x}=9
The solution is x=4