simplify ln(1/5)+1

Solution

simplify

ln (\frac{1}{5}) + 1

- ln (5) + 1

Decimal Notation

- 0.60943 \dots

Solution steps

ln (\frac{1}{5}) + 1

Apply log rule:

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

ln (\frac{1}{5}) = ln (1) - ln (5)

= ln (1) - ln (5) + 1

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (5) + 1

Add the numbers:

0 + 1 = 1

= - ln (5) + 1

\frac{ln ( x + y i ) - ln ( x - y i )}{2 i}

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