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Popular >

simplify ln(9*10^{-6})

Solution

simplify

ln (9 \cdot 1 0^{- 6})

Solution

2 ln (3) - 6 ln (10)

+1

Decimal Notation

- 11.61828 \dots

Solution steps

ln (9 \cdot 1 0^{- 6})

Apply log rule:

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

ln (9 \cdot 1 0^{- 6}) = ln (9) + ln (1 0^{- 6})

= ln (9) + 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 (9) - 6 ln (10)

ln (9) = 2 ln (3)

= 2 ln (3) - 6 ln (10)

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Frequently Asked Questions (FAQ)

What is ln(9*10^{-6}) ?
The solution to ln(9*10^{-6}) is 2ln(3)-6ln(10)