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Popular >

simplify ln(100000/1000000)

Solution

simplify

ln (\frac{100000}{1000000})

Solution

- ln (10)

+1

Decimal Notation

- 2.30258 \dots

Solution steps

ln (\frac{100000}{1000000})

Apply log rule:

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

ln (\frac{100000}{1000000}) = ln (100000) - ln (1000000)

= ln (100000) - ln (1000000)

ln (100000) = 5 ln (10)

ln (1000000) = 6 ln (10)

= 5 ln (10) - 6 ln (10)

Add similar elements:

5 ln (10) - 6 ln (10) = - ln (10)

= - ln (10)

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Frequently Asked Questions (FAQ)

What is ln(100000/1000000) ?
The solution to ln(100000/1000000) is -ln(10)