What is simplify-ln(4/29) ?

The solution to simplify-ln(4/29) is -2ln(2)+ln(29)

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simplify-ln(4/29)

simplify

- ln (\frac{4}{29})

- 2 ln (2) + ln (29)

Decimal Notation

1.98100 \dots

Solution steps

- ln (\frac{4}{29})

Apply log rule:

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

ln (\frac{4}{29}) = ln (4) - ln (29)

= - (ln (4) - ln (29))

ln (4) = 2 ln (2)

= - (2 ln (2) - ln (29))

Distribute parentheses

= - (2 ln (2)) - (- ln (29))

Apply minus-plus rules

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

= - 2 ln (2) + ln (29)

2 lo g_{x} (- 4 lo g_{2} (x))

ln (2.8 \cdot 1 0^{- 15})

- ln (3) + ln (5)

\frac{2 ^{3} - 4}{3 + 3} + ln (\frac{1}{( 3 + 5 ) ^{2}})

- lo g_{10} (4.91 \cdot 1 0^{- 4})