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Popular >

simplify 10ln(1/199)

Solution

simplify

10 ln (\frac{1}{199})

Solution

- 10 ln (199)

+1

Decimal Notation

- 52.93304 \dots

Solution steps

10 ln (\frac{1}{199})

Apply log rule:

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

ln (\frac{1}{199}) = ln (1) - ln (199)

= 10 (ln (1) - ln (199))

Apply log rule:

lo g_{a} (1) = 0

= 10 (- ln (199) + 0)

0 - ln (199) = - ln (199)

= 10 (- ln (199))

Remove parentheses:

(- a) = - a

= - 10 ln (199)

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Frequently Asked Questions (FAQ)

What is 10ln(1/199) ?
The solution to 10ln(1/199) is -10ln(199)