What is the answer to 4^{9x+4}=3 ?

The answer to 4^{9x+4}=3 is x=(ln(3)-8ln(2))/(18ln(2))

Solve for x: 4^{9x+4}=3

The solution is x=(ln(3)-8ln(2))/(18ln(2))

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4^{9 x + 4} = 3

x = \frac{ln ( 3 ) - 8 ln ( 2 )}{18 ln ( 2 )}

Decimal

x = - 0.35639 \dots

Solution steps

4^{9 x + 4} = 3

Apply exponent rules

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

Solve

(9 x + 4) ln (4) = ln (3) : x = \frac{ln ( 3 ) - 8 ln ( 2 )}{18 ln ( 2 )}

x = \frac{ln ( 3 ) - 8 ln ( 2 )}{18 ln ( 2 )}

3^{2 x - 1} = 4 \cdot 3^{x - 1} - 1

y, e^{- e^{- y}} = 1 - 0.05

e^{2 x} - 9 e^{x} + 8 = 0

e^{x} = x e^{x}

e^{x} = 11

What is the answer to 4^{9x+4}=3 ?
The answer to 4^{9x+4}=3 is x=(ln(3)-8ln(2))/(18ln(2))
Solve for x: 4^{9x+4}=3
The solution is x=(ln(3)-8ln(2))/(18ln(2))