What is the answer to 2^{2x}=6 ?

The answer to 2^{2x}=6 is x=(ln(6))/(2ln(2))

Solve for x: 2^{2x}=6

The solution is x=(ln(6))/(2ln(2))

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2^{2 x} = 6

x = \frac{ln ( 6 )}{2 ln ( 2 )}

Decimal

x = 1.29248 \dots

Solution steps

2^{2 x} = 6

Apply exponent rules

2 x ln (2) = ln (6)

Solve

2 x ln (2) = ln (6) : x = \frac{ln ( 6 )}{2 ln ( 2 )}

x = \frac{ln ( 6 )}{2 ln ( 2 )}

3^{\frac{x}{5}} = 2^{4 x - 2}

2^{x + 1} - 2^{x} = 8

3 e^{x} + 7 = 9

5^{x} + 5^{x + 2} = 650

3^{x} = 2^{2 - x}