What is the answer to 3(3)^{-2t}=9(3)^{-3t+3} ?

The answer to 3(3)^{-2t}=9(3)^{-3t+3} is t=4

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3(3)^{-2t}=9(3)^{-3t+3}

3 (3)^{- 2 t} = 9 (3)^{- 3 t + 3}

t = 4

Solution steps

3 (3)^{- 2 t} = 9 (3)^{- 3 t + 3}

Apply exponent rules

- 2 t + 1 = - 3 t + 5

Solve

- 2 t + 1 = - 3 t + 5 : t = 4

t = 4

5^{x + 1} - 50 \cdot 5^{- x} = 123

8^{x} = 15

8^{x} = 11

8^{x} = 24

2^{3 x + 15} = 1

What is the answer to 3(3)^{-2t}=9(3)^{-3t+3} ?
The answer to 3(3)^{-2t}=9(3)^{-3t+3} is t=4
Solve for t: 3(3)^{-2t}=9(3)^{-3t+3}
The solution is t=4