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Popular >

simplify ln(1/(0.2))

Solution

simplify

ln (\frac{1}{0.2})

Solution

- ln (0.2)

+1

Decimal Notation

1.60943 \dots

Solution steps

ln (\frac{1}{0.2})

Apply log rule:

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

ln (\frac{1}{0.2}) = ln (1) - ln (0.2)

= ln (1) - ln (0.2)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (0.2)

0 - ln (0.2) = - ln (0.2)

= - ln (0.2)

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Frequently Asked Questions (FAQ)

What is ln(1/(0.2)) ?
The solution to ln(1/(0.2)) is -ln(0.2)