What is the answer to 3^{x+1}-3^{x+2}=-54 ?

The answer to 3^{x+1}-3^{x+2}=-54 is x=2

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3^{x+1}-3^{x+2}=-54

3^{x + 1} - 3^{x + 2} = - 54

x = 2

Solution steps

3^{x + 1} - 3^{x + 2} = - 54

Factor

3^{x + 1} - 3^{x + 2} : - 2 \cdot 3^{x + 1}

- 2 \cdot 3^{x + 1} = - 54

Divide both sides by

- 2

3^{x + 1} = 27

Apply exponent rules

x + 1 = 3

Solve

x + 1 = 3 : x = 2

x = 2

e^{x} = 0.1

e^{3 x + 4} = 2 e^{x - 1}

5^{2 x} = 125

4^{2 x + 3} = 128

1 6^{2 x} = 4^{x + 1}

What is the answer to 3^{x+1}-3^{x+2}=-54 ?
The answer to 3^{x+1}-3^{x+2}=-54 is x=2
Solve for x: 3^{x+1}-3^{x+2}=-54
The solution is x=2