What is simplify-ln(36/25) ?

The solution to simplify-ln(36/25) is -2ln(6)+2ln(5)

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simplify-ln(36/25)

simplify

- ln (\frac{36}{25})

- 2 ln (6) + 2 ln (5)

Decimal Notation

- 0.36464 \dots

Solution steps

- ln (\frac{36}{25})

Apply log rule:

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

ln (\frac{36}{25}) = ln (36) - ln (25)

= - (ln (36) - ln (25))

ln (36) = 2 ln (6)

ln (25) = 2 ln (5)

= - (2 ln (6) - 2 ln (5))

Distribute parentheses

= - (2 ln (6)) - (- 2 ln (5))

Apply minus-plus rules

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

= - 2 ln (6) + 2 ln (5)

ln (\frac{5}{3} + 1) - ln (- \frac{5}{3} + 1)

ln (7^{4}) - 2 ln (4)

ln (y + 2) + ln (y - 2)

ln (e x^{2})

What is simplify-ln(36/25) ?
The solution to simplify-ln(36/25) is -2ln(6)+2ln(5)