What is the answer to 2^{2x}=51 ?

The answer to 2^{2x}=51 is x=(ln(51))/(2ln(2))

Solve for x: 2^{2x}=51

The solution is x=(ln(51))/(2ln(2))

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2^{2 x} = 51

x = \frac{ln ( 51 )}{2 ln ( 2 )}

Decimal Notation

x = 2.83621 \dots

Solution steps

2^{2 x} = 51

Apply exponent rules

2 x ln (2) = ln (51)

Solve

2 x ln (2) = ln (51) : x = \frac{ln ( 51 )}{2 ln ( 2 )}

x = \frac{ln ( 51 )}{2 ln ( 2 )}

a, x (a + b) = x^{ab}

9^{x^{2} - x} = 81

3 e^{- 2 x} = 5

(- 2)^{x} = 15

10 + e^{- x} = 0

What is the answer to 2^{2x}=51 ?
The answer to 2^{2x}=51 is x=(ln(51))/(2ln(2))
Solve for x: 2^{2x}=51
The solution is x=(ln(51))/(2ln(2))