What is the answer to 2^x=1000000 ?

The answer to 2^x=1000000 is x=(6ln(10))/(ln(2))

Solve for x: 2^x=1000000

The solution is x=(6ln(10))/(ln(2))

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2^{x} = 1000000

x = \frac{6 ln ( 10 )}{ln ( 2 )}

Decimal Notation

x = 19.93156 \dots

Solution steps

2^{x} = 1000000

Apply exponent rules

x ln (2) = ln (1000000)

Solve

x ln (2) = ln (1000000) : x = \frac{6 ln ( 10 )}{ln ( 2 )}

x = \frac{6 ln ( 10 )}{ln ( 2 )}

2^{2 x} = 2^{3}

2 7^{x - 1} = 9^{2 x - 3}

e^{9 x} = 3

(2 e^{x})^{3} = 1

- 2 x e^{- x^{2}} = 0

What is the answer to 2^x=1000000 ?
The answer to 2^x=1000000 is x=(6ln(10))/(ln(2))
Solve for x: 2^x=1000000
The solution is x=(6ln(10))/(ln(2))