What is simplify-1/3 ln(1/10000000000000) ?

The solution to simplify-1/3 ln(1/10000000000000) is 1/3 ln(10000000000000)

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simplify-1/3 ln(1/10000000000000)

simplify

- \frac{1}{3} ln (\frac{1}{10000000000000})

\frac{1}{3} ln (10000000000000)

Decimal Notation

9.97786 \dots

Solution steps

- \frac{1}{3} ln (\frac{1}{10000000000000})

Apply log rule:

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

ln (\frac{1}{10000000000000}) = ln (1) - ln (10000000000000)

= - \frac{1}{3} (ln (1) - ln (10000000000000))

Apply log rule:

lo g_{a} (1) = 0

= - \frac{1}{3} (- ln (10000000000000) + 0)

0 - ln (10000000000000) = - ln (10000000000000)

= - \frac{1}{3} (- ln (10000000000000))

Apply rule

- (- a) = a

= \frac{1}{3} ln (10000000000000)

4.53759 + lo g_{10} (\frac{0.51}{0.16})

lo g_{10} (\frac{5}{1000})

lo g_{2} (16.0312 + 1) + lo g_{2} (16.0312 - 1)

ln (\frac{a ^{3}}{2} x^{2} e^{- 3 a})

ln (- 0.333) - ln (- \frac{1.2502}{3})

What is simplify-1/3 ln(1/10000000000000) ?
The solution to simplify-1/3 ln(1/10000000000000) is 1/3 ln(10000000000000)