What is the answer to 4^{7x+4}=3 ?

The answer to 4^{7x+4}=3 is x=(ln(3)-8ln(2))/(14ln(2))

Solve for x: 4^{7x+4}=3

The solution is x=(ln(3)-8ln(2))/(14ln(2))

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4^{7 x + 4} = 3

x = \frac{ln ( 3 ) - 8 ln ( 2 )}{14 ln ( 2 )}

Decimal Notation

x = - 0.45821 \dots

Solution steps

4^{7 x + 4} = 3

Apply exponent rules

(7 x + 4) ln (4) = ln (3)

Solve

(7 x + 4) ln (4) = ln (3) : x = \frac{ln ( 3 ) - 8 ln ( 2 )}{14 ln ( 2 )}

x = \frac{ln ( 3 ) - 8 ln ( 2 )}{14 ln ( 2 )}

2 7^{x - 5} = (\frac{1}{3})^{x - 1}

69 = 2 7^{x}

4 (2^{8 x}) = 9

(2 3^{x - 6})^{2 x + 5} = 1

32 = 1 (2)^{n - 1}

What is the answer to 4^{7x+4}=3 ?
The answer to 4^{7x+4}=3 is x=(ln(3)-8ln(2))/(14ln(2))
Solve for x: 4^{7x+4}=3
The solution is x=(ln(3)-8ln(2))/(14ln(2))