What is the answer to 8^{5x+8}=3 ?

The answer to 8^{5x+8}=3 is x=(ln(3)-24ln(2))/(15ln(2))

Solve for x: 8^{5x+8}=3

The solution is x=(ln(3)-24ln(2))/(15ln(2))

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8^{5 x + 8} = 3

x = \frac{ln ( 3 ) - 24 ln ( 2 )}{15 ln ( 2 )}

Decimal Notation

x = - 1.49433 \dots

Solution steps

8^{5 x + 8} = 3

Apply exponent rules

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

Solve

(5 x + 8) ln (8) = ln (3) : x = \frac{ln ( 3 ) - 24 ln ( 2 )}{15 ln ( 2 )}

x = \frac{ln ( 3 ) - 24 ln ( 2 )}{15 ln ( 2 )}

e^{6 x} - e^{x} = 0

2^{2 x - 3} = 5^{1 - x}

5^{x - 1} = 8^{x + 1}

9^{X} - 6 \cdot 3^{X} - 81 = 0

25 (12 5^{x}) = 1

What is the answer to 8^{5x+8}=3 ?
The answer to 8^{5x+8}=3 is x=(ln(3)-24ln(2))/(15ln(2))
Solve for x: 8^{5x+8}=3
The solution is x=(ln(3)-24ln(2))/(15ln(2))