What is the answer to 2*4^{x/(-9)}-4=18 ?

The answer to 2*4^{x/(-9)}-4=18 is x=-(9ln(11))/(2ln(2))

Solve for x: 2*4^{x/(-9)}-4=18

The solution is x=-(9ln(11))/(2ln(2))

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2 \cdot 4^{\frac{x}{- 9}} - 4 = 18

x = - \frac{9 ln ( 11 )}{2 ln ( 2 )}

Decimal Notation

x = - 15.56744 \dots

Solution steps

2 \cdot 4^{\frac{x}{- 9}} - 4 = 18

Move

4

to the right side

2 \cdot 4^{\frac{x}{- 9}} = 22

Divide both sides by

2

4^{\frac{x}{- 9}} = 11

Apply exponent rules

\frac{x}{- 9} ln (4) = ln (11)

Solve

\frac{x}{- 9} ln (4) = ln (11) : x = - \frac{9 ln ( 11 )}{2 ln ( 2 )}

x = - \frac{9 ln ( 11 )}{2 ln ( 2 )}

X, f = 8 1^{(X)}

1 e^{27.72 \cdot x} = 2

2 (2^{2 x}) - 9 (2^{x}) + 10 = 0

2^{x + 1} - 2 (2^{x - 1}) = 2^{4 x}

1^{x} = 10

What is the answer to 2*4^{x/(-9)}-4=18 ?
The answer to 2*4^{x/(-9)}-4=18 is x=-(9ln(11))/(2ln(2))
Solve for x: 2*4^{x/(-9)}-4=18
The solution is x=-(9ln(11))/(2ln(2))