What is the answer to 4^{6x+4}=3 ?

The answer to 4^{6x+4}=3 is x=(ln(3)-8ln(2))/(12ln(2))

Solve for x: 4^{6x+4}=3

The solution is x=(ln(3)-8ln(2))/(12ln(2))

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4^{6 x + 4} = 3

x = \frac{ln ( 3 ) - 8 ln ( 2 )}{12 ln ( 2 )}

Decimal Notation

x = - 0.53458 \dots

Solution steps

4^{6 x + 4} = 3

Apply exponent rules

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

Solve

(6 x + 4) ln (4) = ln (3) : x = \frac{ln ( 3 ) - 8 ln ( 2 )}{12 ln ( 2 )}

x = \frac{ln ( 3 ) - 8 ln ( 2 )}{12 ln ( 2 )}

2^{x} + 3 \cdot 2^{x} - 1 = 0

9^{x + 2} = 3^{x}

8^{x + 3} = 2^{2 x - 5}

t, x = e^{t} - 2

2^{4 x} = 5

What is the answer to 4^{6x+4}=3 ?
The answer to 4^{6x+4}=3 is x=(ln(3)-8ln(2))/(12ln(2))
Solve for x: 4^{6x+4}=3
The solution is x=(ln(3)-8ln(2))/(12ln(2))