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Popular >

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

Solution

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

Solution

x = 3

Solution steps

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

Factor

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

8 \cdot 3^{x} = 216

Divide both sides by

8

3^{x} = 27

Apply exponent rules

x = 3

Popular Examples

7^{- 3 - x} = 242

5^{2x+1}-3\times 5^{2x-1}=550

5^{2 x + 1} - 3 \times 5^{2 x - 1} = 550

625^{3x}=125^{x+1}

62 5^{3 x} = 12 5^{x + 1}

3 x e^{x} - 8 e^{x} = 0

e^{2x}+2e^x=+24

e^{2 x} + 2 e^{x} = + 24

Frequently Asked Questions (FAQ)

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