What is simplify-100ln(1/100) ?

The solution to simplify-100ln(1/100) is 200ln(10)

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simplify-100ln(1/100)

simplify

- 100 ln (\frac{1}{100})

200 ln (10)

Decimal Notation

460.51701 \dots

Solution steps

- 100 ln (\frac{1}{100})

Apply log rule:

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

ln (\frac{1}{100}) = ln (1) - ln (100)

= - 100 (ln (1) - ln (100))

Apply log rule:

lo g_{a} (1) = 0

= - 100 (- ln (100) + 0)

0 - ln (100) = - ln (100)

= - 100 (- ln (100))

Apply rule

- (- a) = a

= 100 ln (100)

Simplify

ln (100) : 2 ln (10)

= 100 \cdot 2 ln (10)

Multiply the numbers:

100 \cdot 2 = 200

= 200 ln (10)

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What is simplify-100ln(1/100) ?
The solution to simplify-100ln(1/100) is 200ln(10)