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Popular >

simplify ln(6*10^{-6})

Solution

simplify

ln (6 \cdot 1 0^{- 6})

Solution

ln (6) - 6 ln (10)

+1

Decimal Notation

- 12.02375 \dots

Solution steps

ln (6 \cdot 1 0^{- 6})

Apply log rule:

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

ln (6 \cdot 1 0^{- 6}) = ln (6) + ln (1 0^{- 6})

= ln (6) + ln (1 0^{- 6})

Apply log rule:

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

ln (1 0^{- 6}) = - 6 ln (10)

= ln (6) - 6 ln (10)

Popular Examples

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Frequently Asked Questions (FAQ)

What is ln(6*10^{-6}) ?
The solution to ln(6*10^{-6}) is ln(6)-6ln(10)