What is the answer to 441=(7(1-2^n))/(1-2) ?

The answer to 441=(7(1-2^n))/(1-2) is n=6

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441=(7(1-2^n))/(1-2)

441 = \frac{7 ( 1 - 2 ^{n} )}{1 - 2}

n = 6

Solution steps

441 = \frac{7 ( 1 - 2 ^{n} )}{1 - 2}

Switch sides

\frac{7 ( 1 - 2 ^{n} )}{1 - 2} = 441

Multiply both sides by

1 - 2

7 (1 - 2^{n}) = - 441

Divide both sides by

7

1 - 2^{n} = - 63

Move

1

to the right side

- 2^{n} = - 64

Divide both sides by

- 1

2^{n} = 64

Apply exponent rules

n = 6

2^{(3 x + 5)} = \frac{1}{16}

4^{y + 1} + 4^{y} = 320

4^{4 e} = 8^{e - 3}

950 = 850 (1.015)^{x} - 550

e^{x + 5} = \frac{1}{e}

What is the answer to 441=(7(1-2^n))/(1-2) ?
The answer to 441=(7(1-2^n))/(1-2) is n=6
Solve for n: 441=(7(1-2^n))/(1-2)
The solution is n=6