What is the answer to 2^x=1000 ?

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

Solve for x: 2^x=1000

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

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2^{x} = 1000

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

Solution steps

2^{x} = 1000

Apply exponent rules

x ln (2) = ln (1000)

Solve

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

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

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