What is the answer to 0.9765625=500(2)^{n-1} ?

The answer to 0.9765625=500(2)^{n-1} is n=-8

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0.9765625=500(2)^{n-1}

0.9765625 = 500 (2)^{n - 1}

n = - 8

Solution steps

0.9765625 = 500 (2)^{n - 1}

Switch sides

500 \cdot 2^{n - 1} = 0.9765625

Divide both sides by

500

2^{n - 1} = \frac{0.9765625}{500}

Apply exponent rules

n - 1 = - 9

Solve

n - 1 = - 9 : n = - 8

n = - 8

0.0 1^{(3 x - 1)} = 0.0 1^{0} AA

4^{- 2 x} = 64

5^{m + 4} = 6

16 = 5 + 16 e^{k (34)}

(\frac{1}{27})^{x} = 9^{x + 5}

What is the answer to 0.9765625=500(2)^{n-1} ?
The answer to 0.9765625=500(2)^{n-1} is n=-8
Solve for n: 0.9765625=500(2)^{n-1}
The solution is n=-8