What is the answer to 4^{x+5}-4^{x+4}=384 ?

The answer to 4^{x+5}-4^{x+4}=384 is x=-1/2

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4^{x+5}-4^{x+4}=384

4^{x + 5} - 4^{x + 4} = 384

x = - \frac{1}{2}

Solution steps

4^{x + 5} - 4^{x + 4} = 384

Factor

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

3 \cdot 4^{x + 4} = 384

Divide both sides by

3

4^{x + 4} = 128

Apply exponent rules

2 (x + 4) = 7

Solve

2 (x + 4) = 7 : x = - \frac{1}{2}

x = - \frac{1}{2}

3^{1 - x^{2}} = \frac{1}{27}

e^{x} = - 2

2^{x} - 1 = x + 2

x e^{2 x} = 0

2^{2 x + 1} \cdot 4^{3 x + 1} = 8^{x - 1}

What is the answer to 4^{x+5}-4^{x+4}=384 ?
The answer to 4^{x+5}-4^{x+4}=384 is x=-1/2
Solve for x: 4^{x+5}-4^{x+4}=384
The solution is x=-1/2