What is the answer to 6^{x+2}-6^{x-1}=215\times 6^2 ?

The answer to 6^{x+2}-6^{x-1}=215\times 6^2 is x=3

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6^{x+2}-6^{x-1}=215\times 6^2

6^{x + 2} - 6^{x - 1} = 215 \cdot 6^{2}

x = 3

Solution steps

6^{x + 2} - 6^{x - 1} = 215 \cdot 6^{2}

Factor

6^{x + 2} - 6^{x - 1} : 215 \cdot 6^{x - 1}

215 \cdot 6^{x - 1} = 7740

Divide both sides by

215

6^{x - 1} = 36

Apply exponent rules

x - 1 = 2

Solve

x - 1 = 2 : x = 3

x = 3

2^{x - 1} = 0

1 = 10 (2^{- \frac{t}{30}})

e^{x^{2} + 4 x} - 15 = 3

- 4 e^{- 4 x} = 0

- 4 e^{- 4 c} = \frac{e ^{- 12} - 1}{3}

What is the answer to 6^{x+2}-6^{x-1}=215\times 6^2 ?
The answer to 6^{x+2}-6^{x-1}=215\times 6^2 is x=3
Solve for x: 6^{x+2}-6^{x-1}=215\times 6^2
The solution is x=3