What is the answer to 2^n=10^{13} ?

The answer to 2^n=10^{13} is n=(13ln(10))/(ln(2))

Solve for n: 2^n=10^{13}

The solution is n=(13ln(10))/(ln(2))

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2^{n} = 1 0^{13}

n = \frac{13 ln ( 10 )}{ln ( 2 )}

Decimal Notation

n = 43.18506 \dots

Solution steps

2^{n} = 1 0^{13}

Apply exponent rules

n ln (2) = 13 ln (10)

Solve

n ln (2) = 13 ln (10) : n = \frac{13 ln ( 10 )}{ln ( 2 )}

n = \frac{13 ln ( 10 )}{ln ( 2 )}

4218.75 = 4000 (1 + 0.04)^{x}

3^{3 x + 1} = 8 1^{x - 1}

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

x^{5 + l o g_{10} (x)} = 1 0^{- 6}

3^{2 x + 3} = 243

What is the answer to 2^n=10^{13} ?
The answer to 2^n=10^{13} is n=(13ln(10))/(ln(2))
Solve for n: 2^n=10^{13}
The solution is n=(13ln(10))/(ln(2))