What is simplify-ln(13/3) ?

The solution to simplify-ln(13/3) is -ln(13)+ln(3)

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simplify-ln(13/3)

simplify

- ln (\frac{13}{3})

- ln (13) + ln (3)

Decimal Notation

- 1.46633 \dots

Solution steps

- ln (\frac{13}{3})

Apply log rule:

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

ln (\frac{13}{3}) = ln (13) - ln (3)

= - (ln (13) - ln (3))

Distribute parentheses

= - (ln (13)) - (- ln (3))

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - ln (13) + ln (3)

ln (2 - x) + ln (2 + x)

ln ∣ sin (x) ∣ + ln ∣ csc (x) - cot (x) ∣

25 ln (\frac{25}{8})

10 lo g_{10} (\frac{1}{1 + ( 2 π \cdot 400 \cdot 5.03 \cdot 9.566 ) ^{2}})

\frac{ln ( \frac{162}{5} )}{3 ln ( 3 )}