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

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

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

solve for

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

x = - \frac{1}{2}

Decimal Notation

x = - 0.5

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}

x^{l o g_{3} (x)} - 5 = 76

x, 2^{x} = 0.25

22 5^{3 (x + 1)} = 15

61 = 1 3^{x}

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

What is the answer to solvefor x,4^{x+5}-4^{x+4}=384 ?
The answer to solvefor x,4^{x+5}-4^{x+4}=384 is x=-1/2