What is simplify-1/3 ln(1/10000000000) ?

The solution to simplify-1/3 ln(1/10000000000) is 1/3 ln(10000000000)

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simplify-1/3 ln(1/10000000000)

simplify

- \frac{1}{3} ln (\frac{1}{10000000000})

\frac{1}{3} ln (10000000000)

Decimal Notation

7.67528 \dots

Solution steps

- \frac{1}{3} ln (\frac{1}{10000000000})

Apply log rule:

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

ln (\frac{1}{10000000000}) = ln (1) - ln (10000000000)

= - \frac{1}{3} (ln (1) - ln (10000000000))

Apply log rule:

lo g_{a} (1) = 0

= - \frac{1}{3} (- ln (10000000000) + 0)

0 - ln (10000000000) = - ln (10000000000)

= - \frac{1}{3} (- ln (10000000000))

Apply rule

- (- a) = a

= \frac{1}{3} ln (10000000000)

ln (- 1 \cdot b \cdot e^{x})

lo g_{a} (\frac{( x + y ) ^{2}}{( x - y ) ^{3}})

ln (m) - \frac{1}{2} ln (m^{2} + 1)

lo g_{y} (\frac{z}{x})

ln (\frac{x}{x ^{2}})

What is simplify-1/3 ln(1/10000000000) ?
The solution to simplify-1/3 ln(1/10000000000) is 1/3 ln(10000000000)