What is the answer to 81(3^{x^2+5x})=243 ?

The answer to 81(3^{x^2+5x})=243 is x=(-5+sqrt(29))/2 ,x=(-5-sqrt(29))/2

Solve for x: 81(3^{x^2+5x})=243

The solution is x=(-5+sqrt(29))/2 ,x=(-5-sqrt(29))/2

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81 (3^{x^{2} + 5 x}) = 243

x = \frac{- 5 + 29}{2}, x = \frac{- 5 - 29}{2}

Decimal

x = 0.19258 \dots, x = - 5.19258 \dots

Solution steps

81 (3^{x^{2} + 5 x}) = 243

Divide both sides by

81

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

Apply exponent rules

x^{2} + 5 x = 1

Solve

x^{2} + 5 x = 1 : x = \frac{- 5 + 29}{2}, x = \frac{- 5 - 29}{2}

x = \frac{- 5 + 29}{2}, x = \frac{- 5 - 29}{2}

1 1^{2 x + 1} = 11

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

What is the answer to 81(3^{x^2+5x})=243 ?
The answer to 81(3^{x^2+5x})=243 is x=(-5+sqrt(29))/2 ,x=(-5-sqrt(29))/2
Solve for x: 81(3^{x^2+5x})=243
The solution is x=(-5+sqrt(29))/2 ,x=(-5-sqrt(29))/2