What is the answer to 8^{9x+8}=3 ?

The answer to 8^{9x+8}=3 is x=(ln(3)-24ln(2))/(27ln(2))

Solve for x: 8^{9x+8}=3

The solution is x=(ln(3)-24ln(2))/(27ln(2))

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8^{9 x + 8} = 3

x = \frac{ln ( 3 ) - 24 ln ( 2 )}{27 ln ( 2 )}

Decimal Notation

x = - 0.83018 \dots

Solution steps

8^{9 x + 8} = 3

Apply exponent rules

(9 x + 8) ln (8) = ln (3)

Solve

(9 x + 8) ln (8) = ln (3) : x = \frac{ln ( 3 ) - 24 ln ( 2 )}{27 ln ( 2 )}

x = \frac{ln ( 3 ) - 24 ln ( 2 )}{27 ln ( 2 )}

3^{x + 1} = \frac{1}{27}

\frac{1}{e ^{y}} = e^{- y}

5 (2^{3 x - 2}) = 9^{x}

1 6^{9 x - 6} = (2^{4})^{6 + 7 x}

x, e^{e^{x}} = 2

What is the answer to 8^{9x+8}=3 ?
The answer to 8^{9x+8}=3 is x=(ln(3)-24ln(2))/(27ln(2))
Solve for x: 8^{9x+8}=3
The solution is x=(ln(3)-24ln(2))/(27ln(2))