What is the answer to 2^n=1000 ?

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

Solve for n: 2^n=1000

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

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2^{n} = 1000

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

Decimal Notation

n = 9.96578 \dots

Solution steps

2^{n} = 1000

Apply exponent rules

n ln (2) = ln (1000)

Solve

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

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

4^{2 x + 3} = 1

9^{- 3 x} = (\frac{1}{27})^{x + 3}

1 0^{x} = 4

5^{x} + 5^{5 - x} = 150

20.0855 = e^{x}