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Popular >

2^{n-1}=2^n-2

Solution

2^{n - 1} = 2^{n} - 2

Solution

n = 2

Solution steps

2^{n - 1} = 2^{n} - 2

Subtract

2^{n}

from both sides

2^{n - 1} - 2^{n} = 2^{n} - 2 - 2^{n}

Simplify

2^{n - 1} - 2^{n} = - 2

Factor

2^{n - 1} - 2^{n} : - 2^{n - 1}

- 2^{n - 1} = - 2

Divide both sides by

- 1

2^{n - 1} = 2

Apply exponent rules

n - 1 = 1

Solve

n - 1 = 1 : n = 2

n = 2

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7^{x^2-4x+6}=343

7^{x^{2} - 4 x + 6} = 343

a^{2 x} = 3

1 2^{x + 5} = 144

Frequently Asked Questions (FAQ)

What is the answer to 2^{n-1}=2^n-2 ?
The answer to 2^{n-1}=2^n-2 is n=2
Solve for n: 2^{n-1}=2^n-2
The solution is n=2