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

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

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

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

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

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

Decimal Notation

x = 45.03306 \dots

Solution steps

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

Apply exponent rules

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

Solve

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

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

9^{x - 2} = 240 + 9^{x}

5^{x} - 1 = 3

2.5 \cdot e^{40 x} = 5

(((5^{5})^{x})^{+})^{2} = 25

8^{x + 7} = 9^{x}

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