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

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

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

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

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

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

Decimal Notation

n = 43.18506 \dots

Solution steps

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

Apply exponent rules

13 ln (10) = n ln (2)

Solve

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

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

2 \cdot 3^{2 x} - 5 \cdot 3^{x} + 2 = 0

2 e^{x} + 6 e^{- x} = 7

x^{x} = 64

e^{x} (2 e^{x} - 1) = 10

(\frac{1}{36})^{x} = 21 6^{x + 5}

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