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Popular >

simplify ln((100)/(0.2))

Solution

simplify

ln (\frac{100}{0.2})

Solution

2 ln (10) - ln (0.2)

+1

Decimal Notation

6.21460 \dots

Solution steps

ln (\frac{100}{0.2})

Apply log rule:

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

ln (\frac{100}{0.2}) = ln (100) - ln (0.2)

= ln (100) - ln (0.2)

ln (100) = 2 ln (10)

= 2 ln (10) - ln (0.2)

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Frequently Asked Questions (FAQ)

What is ln((100)/(0.2)) ?
The solution to ln((100)/(0.2)) is 2ln(10)-ln(0.2)