What is the answer to 2^{(-3x)}*4^{(2x-2)}=16 ?

The answer to 2^{(-3x)}*4^{(2x-2)}=16 is x=8

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2^{(-3x)}*4^{(2x-2)}=16

2^{(- 3 x)} \cdot 4^{(2 x - 2)} = 16

x = 8

Solution steps

2^{(- 3 x)} \cdot 4^{(2 x - 2)} = 16

Apply exponent rules

- 3 x + 2 (2 x - 2) = 4

Solve

- 3 x + 2 (2 x - 2) = 4 : x = 8

x = 8

2^{2 x} = 2^{x} + 12

5^{2 x - 1} = 5^{3}

e^{t} = 2

1 2^{x + 5} = 300

a^{x} = e^{x l n (a)}

What is the answer to 2^{(-3x)}*4^{(2x-2)}=16 ?
The answer to 2^{(-3x)}*4^{(2x-2)}=16 is x=8
Solve for x: 2^{(-3x)}*4^{(2x-2)}=16
The solution is x=8