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

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

Solve for x: 8^{x-8}=9

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

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8^{x - 8} = 9

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

Decimal Notation

x = 9.05664 \dots

Solution steps

8^{x - 8} = 9

Apply exponent rules

(x - 8) ln (8) = ln (9)

Solve

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

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

e^{x^{2}} - e^{5} e^{x - 1} = 0

11 (3 + e^{- x})^{- 1} = 2

11 (3 + e^{- x})^{- 1} = 3

8^{(x + 3)} = 32

2^{x - 1} = 256

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