What is the answer to 4^{x+3}-4^{x+2}=24 ?

The answer to 4^{x+3}-4^{x+2}=24 is x=-1/2

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4^{x+3}-4^{x+2}=24

4^{x + 3} - 4^{x + 2} = 24

x = - \frac{1}{2}

Solution steps

4^{x + 3} - 4^{x + 2} = 24

Factor

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

3 \cdot 4^{x + 2} = 24

Divide both sides by

3

4^{x + 2} = 8

Apply exponent rules

2 (x + 2) = 3

Solve

2 (x + 2) = 3 : x = - \frac{1}{2}

x = - \frac{1}{2}

e^{3 x} = 2

2 = e^{x}

9^{2 x - 5} = 27

2 e^{3 x} - 3 = 15

8^{x - 1} = 6^{3 x}

What is the answer to 4^{x+3}-4^{x+2}=24 ?
The answer to 4^{x+3}-4^{x+2}=24 is x=-1/2
Solve for x: 4^{x+3}-4^{x+2}=24
The solution is x=-1/2