What is the answer to 36^{-3}=216^{2x+2} ?

The answer to 36^{-3}=216^{2x+2} is x=-2

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36^{-3}=216^{2x+2}

3 6^{- 3} = 21 6^{2 x + 2}

x = - 2

Solution steps

3 6^{- 3} = 21 6^{2 x + 2}

Apply exponent rules

- 6 = 3 (2 x + 2)

Solve

- 6 = 3 (2 x + 2) : x = - 2

x = - 2

2^{2 x} = 1

2^{x + 3} = 256

e^{x^{2} + 12} = e^{7 x}

10 e^{- t} = 10 - 2 t

2 \times 3^{x} + 5 \times 3^{x} - 3^{x} = 6

What is the answer to 36^{-3}=216^{2x+2} ?
The answer to 36^{-3}=216^{2x+2} is x=-2
Solve for x: 36^{-3}=216^{2x+2}
The solution is x=-2