What is the answer to 11^{2x+1}=sqrt(11) ?

The answer to 11^{2x+1}=sqrt(11) is x=-1/4

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11^{2x+1}=sqrt(11)

1 1^{2 x + 1} = 11

x = - \frac{1}{4}

Decimal

x = - 0.25

Solution steps

1 1^{2 x + 1} = 11

Apply exponent rules

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

Solve

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

x = - \frac{1}{4}

49 e^{7 x} + e^{- x} = 0

1 0^{- 3 x} = \frac{1}{1000}

1 1^{4 + x} = 1 1^{7 - 10 x}

e^{3 x} = 20

e^{x} = - 3 x

What is the answer to 11^{2x+1}=sqrt(11) ?
The answer to 11^{2x+1}=sqrt(11) is x=-1/4
Solve for x: 11^{2x+1}=sqrt(11)
The solution is x=-1/4