What is the answer to 9^{x+8}=11 ?

The answer to 9^{x+8}=11 is x=(ln(11))/(2ln(3))-8

Solve for x: 9^{x+8}=11

The solution is x=(ln(11))/(2ln(3))-8

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9^{x + 8} = 11

x = \frac{ln ( 11 )}{2 ln ( 3 )} - 8

Decimal Notation

x = - 6.90867 \dots

Solution steps

9^{x + 8} = 11

Apply exponent rules

(x + 8) ln (9) = ln (11)

Solve

(x + 8) ln (9) = ln (11) : x = \frac{ln ( 11 )}{2 ln ( 3 )} - 8

x = \frac{ln ( 11 )}{2 ln ( 3 )} - 8

0.1 = 320 e^{- 3.1 t}

x, w = - 5 \cdot 3^{x} + 1

- 3.73 = - 4 x e^{\frac{- x}{4}}

6^{2 x} - 34 (6^{x}) - 72 = 0

x, y = A e^{- k x}

What is the answer to 9^{x+8}=11 ?
The answer to 9^{x+8}=11 is x=(ln(11))/(2ln(3))-8
Solve for x: 9^{x+8}=11
The solution is x=(ln(11))/(2ln(3))-8