What is 8.314*ln(3.95*10^9) ?

The solution to 8.314*ln(3.95*10^9) is 8.314ln(3.95)+74.826ln(10)

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simplify 8.314ln(3.9510^9)

simplify

8.314 \cdot ln (3.95 \cdot 1 0^{9})

8.314 ln (3.95) + 74.826 ln (10)

Decimal Notation

183.71430 \dots

Solution steps

8.314 ln (3.95 \cdot 1 0^{9})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

8.314 ln (3.95 \cdot 1 0^{9}) = 8.314 ln (3.95) + 8.314 ln (1 0^{9})

= 8.314 ln (3.95) + 8.314 ln (1 0^{9})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (1 0^{9}) = 9 ln (10)

= 8.314 ln (3.95) + 8.314 \cdot 9 ln (10)

Multiply the numbers:

8.314 \cdot 9 = 74.826

= 8.314 ln (3.95) + 74.826 ln (10)

ln (\frac{5918}{87})

ln (x - 3) - ln (- 3 + x)

ln^{3} (3) - ln^{3} (x^{2})

- ln (\frac{y}{2} + 1) + ln (\frac{y}{2} - 1)

ln (\frac{68}{75})

What is 8.314*ln(3.95*10^9) ?
The solution to 8.314*ln(3.95*10^9) is 8.314ln(3.95)+74.826ln(10)