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Popular >

simplify ln((10^{-6})/2)

Solution

simplify

ln (\frac{1 0 ^{- 6}}{2})

Solution

- 6 ln (10) - ln (2)

+1

Decimal Notation

- 14.50865 \dots

Solution steps

ln (\frac{1 0 ^{- 6}}{2})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{1 0 ^{- 6}}{2}) = ln (1 0^{- 6}) - ln (2)

= ln (1 0^{- 6}) - ln (2)

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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