What is the answer to 2^x-2^{x+12}=-12 ?

The answer to 2^x-2^{x+12}=-12 is x=(ln(4/1365))/(ln(2))

Solve for x: 2^x-2^{x+12}=-12

The solution is x=(ln(4/1365))/(ln(2))

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2^{x} - 2^{x + 12} = - 12

x = \frac{ln ( \frac{4}{1365} )}{ln ( 2 )}

Solution steps

2^{x} - 2^{x + 12} = - 12

Factor

2^{x} - 2^{x + 12} : - 4095 \cdot 2^{x}

- 4095 \cdot 2^{x} = - 12

Divide both sides by

- 4095

2^{x} = \frac{4}{1365}

Apply exponent rules

x ln (2) = ln (\frac{4}{1365})

Solve

x ln (2) = ln (\frac{4}{1365}) : x = \frac{ln ( \frac{4}{1365} )}{ln ( 2 )}

x = \frac{ln ( \frac{4}{1365} )}{ln ( 2 )}

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

2^{3 x} = 512

2^{2 x} = 4^{x - 1}

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

2^{n} + 2^{n} = 2^{n + 1}

What is the answer to 2^x-2^{x+12}=-12 ?
The answer to 2^x-2^{x+12}=-12 is x=(ln(4/1365))/(ln(2))
Solve for x: 2^x-2^{x+12}=-12
The solution is x=(ln(4/1365))/(ln(2))