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Popular >

simplify ln(3.9*10^{-13})

Solution

simplify

ln (3.9 \cdot 1 0^{- 13})

Solution

ln (3.9) - 13 ln (10)

+1

Decimal Notation

- 28.57262 \dots

Solution steps

ln (3.9 \cdot 1 0^{- 13})

Apply log rule:

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

ln (3.9 \cdot 1 0^{- 13}) = ln (3.9) + ln (1 0^{- 13})

= ln (3.9) + ln (1 0^{- 13})

Apply log rule:

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

ln (1 0^{- 13}) = - 13 ln (10)

= ln (3.9) - 13 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(3.9*10^{-13}) ?
The solution to ln(3.9*10^{-13}) is ln(3.9)-13ln(10)