What is the answer to 2^{3x+1}-2^{3x-1}=768 ?

The answer to 2^{3x+1}-2^{3x-1}=768 is x=3

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2^{3x+1}-2^{3x-1}=768

2^{3 x + 1} - 2^{3 x - 1} = 768

x = 3

Solution steps

2^{3 x + 1} - 2^{3 x - 1} = 768

Apply exponent rules

3 x = 9

Solve

3 x = 9 : x = 3

x = 3

6^{x + 2} = 72

7^{x + 1} = 3^{x + 2}

4^{x} = 8^{x + 1}

5^{x^{2}} = 2 5^{4 - x}

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

What is the answer to 2^{3x+1}-2^{3x-1}=768 ?
The answer to 2^{3x+1}-2^{3x-1}=768 is x=3
Solve for x: 2^{3x+1}-2^{3x-1}=768
The solution is x=3