What is the answer to 4^{x+1}-9(2)^x=-2 ?

The answer to 4^{x+1}-9(2)^x=-2 is x=1,x=-2

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4^{x+1}-9(2)^x=-2

4^{x + 1} - 9 (2)^{x} = - 2

x = 1, x = - 2

Solution steps

4^{x + 1} - 9 (2)^{x} = - 2

Apply exponent rules

(2^{x})^{2} \cdot 2^{2} - 9 \cdot 2^{x} = - 2

Rewrite the equation with

2^{x} = u

(u)^{2} \cdot 2^{2} - 9 u = - 2

Solve

u^{2} \cdot 2^{2} - 9 u = - 2 : u = 2, u = \frac{1}{4}

u = 2, u = \frac{1}{4}

Substitute back

u = 2^{x},

solve for

x

Solve

2^{x} = 2 : x = 1

Solve

2^{x} = \frac{1}{4} : x = - 2

x = 1, x = - 2

3^{x} = 7^{4 x + 1}

\frac{e ^{x} + e ^{- x}}{2} = 3

8^{x} = \frac{2 ^{56} - 4 ^{26}}{30}

98 e^{\frac{x}{2}} = 490

1 0^{x - 2} = 1000

What is the answer to 4^{x+1}-9(2)^x=-2 ?
The answer to 4^{x+1}-9(2)^x=-2 is x=1,x=-2
Solve for x: 4^{x+1}-9(2)^x=-2
The solution is x=1,x=-2