What is the answer to 2^x-2^{x-2}=3(2^{13}) ?

The answer to 2^x-2^{x-2}=3(2^{13}) is x=15

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2^x-2^{x-2}=3(2^{13})

2^{x} - 2^{x - 2} = 3 (2^{13})

x = 15

Solution steps

2^{x} - 2^{x - 2} = 3 (2^{13})

Factor

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

3 \cdot 2^{x - 2} = 24576

Divide both sides by

3

2^{x - 2} = 8192

Apply exponent rules

x - 2 = 13

Solve

x - 2 = 13 : x = 15

x = 15

3 e^{2 x} = 4.2

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

5^{x} = 3^{x - 1}

2^{x^{2} - 1} = 8

What is the answer to 2^x-2^{x-2}=3(2^{13}) ?
The answer to 2^x-2^{x-2}=3(2^{13}) is x=15
Solve for x: 2^x-2^{x-2}=3(2^{13})
The solution is x=15