What is simplify-ln(65/75) ?

The solution to simplify-ln(65/75) is -ln(65)+ln(75)

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simplify-ln(65/75)

simplify

- ln (\frac{65}{75})

- ln (65) + ln (75)

Decimal Notation

0.14310 \dots

Solution steps

- ln (\frac{65}{75})

Apply log rule:

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

ln (\frac{65}{75}) = ln (65) - ln (75)

= - (ln (65) - ln (75))

Distribute parentheses

= - (ln (65)) - (- ln (75))

Apply minus-plus rules

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

= - ln (65) + ln (75)

ln (\frac{0.53}{12})

3 ln (\frac{3}{2}) + 3

ln (D e^{- \frac{q}{r t}})

3.18045 + lo g_{10} (\frac{5}{8})

ln (4 e^{5 x y + y})

What is simplify-ln(65/75) ?
The solution to simplify-ln(65/75) is -ln(65)+ln(75)