What is the answer to 2^n=3.6*10^{13} ?

The answer to 2^n=3.6*10^{13} is n=(ln(3.6)+13ln(10))/(ln(2))

Solve for n: 2^n=3.6*10^{13}

The solution is n=(ln(3.6)+13ln(10))/(ln(2))

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2^{n} = 3.6 \cdot 1 0^{13}

n = \frac{ln ( 3.6 ) + 13 ln ( 10 )}{ln ( 2 )}

Decimal Notation

n = 45.03306 \dots

Solution steps

2^{n} = 3.6 \cdot 1 0^{13}

Apply exponent rules

n ln (2) = ln (3.6 \cdot 1 0^{13})

Solve

n ln (2) = ln (3.6 \cdot 1 0^{13}) : n = \frac{ln ( 3.6 ) + 13 ln ( 10 )}{ln ( 2 )}

n = \frac{ln ( 3.6 ) + 13 ln ( 10 )}{ln ( 2 )}

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

5^{x} = 0.04

lo g_{3} (3^{2 x + 1}) = 15

1 6^{3^{2 x}} = 8^{4^{2 x}}

6^{x} = 36

What is the answer to 2^n=3.6*10^{13} ?
The answer to 2^n=3.6*10^{13} is n=(ln(3.6)+13ln(10))/(ln(2))
Solve for n: 2^n=3.6*10^{13}
The solution is n=(ln(3.6)+13ln(10))/(ln(2))