What is simplify-ln(22/78) ?

The solution to simplify-ln(22/78) is -ln(22)+ln(78)

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simplify-ln(22/78)

simplify

- ln (\frac{22}{78})

- ln (22) + ln (78)

Decimal Notation

1.26566 \dots

Solution steps

- ln (\frac{22}{78})

Apply log rule:

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

ln (\frac{22}{78}) = ln (22) - ln (78)

= - (ln (22) - ln (78))

Distribute parentheses

= - (ln (22)) - (- ln (78))

Apply minus-plus rules

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

= - ln (22) + ln (78)

lo g_{10} (j^{4} k^{7})

ln (60 e^{\frac{t}{3}})

- lo g_{10} (4.2 x 1 0^{- 4})

ln (x) - 2 ln (x^{2} + 1) + \frac{1}{2} ln (x^{4} + 1)

3 lo g_{2} (\frac{5 x}{7})

What is simplify-ln(22/78) ?
The solution to simplify-ln(22/78) is -ln(22)+ln(78)