What is the answer to 2^{2x}=2^{4sqrt(3)} ?

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

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2^{2x}=2^{4sqrt(3)}

2^{2 x} = 2^{43}

x = 23

Decimal

x = 3.46410 \dots

Solution steps

2^{2 x} = 2^{43}

Apply exponent rules

2 x = 43

Solve

2 x = 43 : x = 23

x = 23

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