What is the answer to 1000=2^n ?

The answer to 1000=2^n is n=(3ln(10))/(ln(2))

Solve for n: 1000=2^n

The solution is n=(3ln(10))/(ln(2))

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1000 = 2^{n}

n = \frac{3 ln ( 10 )}{ln ( 2 )}

Decimal Notation

n = 9.96578 \dots

Solution steps

1000 = 2^{n}

Apply exponent rules

ln (1000) = n ln (2)

Solve

ln (1000) = n ln (2) : n = \frac{3 ln ( 10 )}{ln ( 2 )}

n = \frac{3 ln ( 10 )}{ln ( 2 )}

9^{x - 1} - 3^{x - 2} = 8

0. 5^{6 x - 2 x} = 32

5^{x} = 0

5^{x} + (3) \cdot (5^{x - 2}) = 140

72 9^{2 x} = 27