What is the answer to 3^{x+4}-3^{x+5}=-2 ?

The answer to 3^{x+4}-3^{x+5}=-2 is x=-4

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3^{x+4}-3^{x+5}=-2

3^{x + 4} - 3^{x + 5} = - 2

x = - 4

Solution steps

3^{x + 4} - 3^{x + 5} = - 2

Factor

3^{x + 4} - 3^{x + 5} : - 2 \cdot 3^{x + 4}

- 2 \cdot 3^{x + 4} = - 2

Divide both sides by

- 2

3^{x + 4} = 1

Apply exponent rules

(x + 4) ln (3) = ln (1)

Solve

(x + 4) ln (3) = ln (1) : x = - 4

x = - 4

ln (3^{x}) = - 1

49 \cdot 7^{3 x} = 5^{x}

4^{x + 3} + 4^{x} = 260

8^{x + 2} = 4

2^{x + 1} + 2^{x - 1} + 2^{x} = 28

What is the answer to 3^{x+4}-3^{x+5}=-2 ?
The answer to 3^{x+4}-3^{x+5}=-2 is x=-4
Solve for x: 3^{x+4}-3^{x+5}=-2
The solution is x=-4