What is the answer to 8^{7x+8}=3 ?

The answer to 8^{7x+8}=3 is x=(ln(3)-24ln(2))/(21ln(2))

Solve for x: 8^{7x+8}=3

The solution is x=(ln(3)-24ln(2))/(21ln(2))

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8^{7 x + 8} = 3

x = \frac{ln ( 3 ) - 24 ln ( 2 )}{21 ln ( 2 )}

Decimal Notation

x = - 1.06738 \dots

Solution steps

8^{7 x + 8} = 3

Apply exponent rules

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

Solve

(7 x + 8) ln (8) = ln (3) : x = \frac{ln ( 3 ) - 24 ln ( 2 )}{21 ln ( 2 )}

x = \frac{ln ( 3 ) - 24 ln ( 2 )}{21 ln ( 2 )}

8 1^{x^{2 - 1}} = 2 7^{- (7 - 5 x)}

2^{3 x - 1} = 8

2^{3 x - 1} = 4

1000000 = 2^{x}

12 \cdot 1 0^{\frac{x}{2}} = 1

What is the answer to 8^{7x+8}=3 ?
The answer to 8^{7x+8}=3 is x=(ln(3)-24ln(2))/(21ln(2))
Solve for x: 8^{7x+8}=3
The solution is x=(ln(3)-24ln(2))/(21ln(2))