What is the answer to 2^n=10^6 ?

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

Solve for n: 2^n=10^6

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

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2^{n} = 1 0^{6}

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

Decimal Notation

n = 19.93156 \dots

Solution steps

2^{n} = 1 0^{6}

Apply exponent rules

n ln (2) = 6 ln (10)

Solve

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

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

5^{x - 1} = 2^{x}

2^{x} = 2048

3^{x + 2} = 5^{x - 1}

x^{3} = 3^{x}

e^{l n (x)} = 4