What is the answer to 3^{x+2}-3^x= 8/27 ?

The answer to 3^{x+2}-3^x= 8/27 is x=-3

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3^{x+2}-3^x= 8/27

3^{x + 2} - 3^{x} = \frac{8}{27}

x = - 3

Solution steps

3^{x + 2} - 3^{x} = \frac{8}{27}

Factor

3^{x + 2} - 3^{x} : 8 \cdot 3^{x}

8 \cdot 3^{x} = \frac{8}{27}

Divide both sides by

8

3^{x} = \frac{1}{27}

Apply exponent rules

x = - 3

6^{2 x} = 7

70 = 5 (10)^{x}

3^{x} - 15 = 12

2 = 1.0 3^{t}

3^{x} - 1 + 3^{x} + 1 = 90

What is the answer to 3^{x+2}-3^x= 8/27 ?
The answer to 3^{x+2}-3^x= 8/27 is x=-3
Solve for x: 3^{x+2}-3^x= 8/27
The solution is x=-3