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Popular >

simplify ln(3.17*10^{-9})

Solution

simplify

ln (3.17 \cdot 1 0^{- 9})

Solution

ln (3.17) - 9 ln (10)

+1

Decimal Notation

- 19.56953 \dots

Solution steps

ln (3.17 \cdot 1 0^{- 9})

Apply log rule:

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

ln (3.17 \cdot 1 0^{- 9}) = ln (3.17) + ln (1 0^{- 9})

= ln (3.17) + 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)

= ln (3.17) - 9 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(3.17*10^{-9}) ?
The solution to ln(3.17*10^{-9}) is ln(3.17)-9ln(10)