What is simplify-1/45 ln((18-(-7))/(22-(-7))) ?

The solution to simplify-1/45 ln((18-(-7))/(22-(-7))) is -(2ln(5)-ln(29))/(45)

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simplify-1/45 ln((18-(-7))/(22-(-7)))

simplify

- \frac{1}{45} ln (\frac{18 - ( - 7 )}{22 - ( - 7 )})

- \frac{2 ln ( 5 ) - ln ( 29 )}{45}

Decimal Notation

0.00329 \dots

Solution steps

- \frac{1}{45} ln (\frac{18 - ( - 7 )}{22 - ( - 7 )})

Apply log rule:

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

ln (\frac{18 - ( - 7 )}{22 - ( - 7 )}) = ln (18 - (- 7)) - ln (22 - (- 7))

= - \frac{1}{45} (ln (18 - (- 7)) - ln (22 - (- 7)))

Apply rule

- (- a) = a

= - \frac{1}{45} (ln (18 + 7) - ln (22 + 7))

Apply rule

- (- a) = a

= - \frac{1}{45} (ln (18 + 7) - ln (22 + 7))

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{1 \cdot ( ln ( 18 + 7 ) - ln ( 22 + 7 ) )}{45}

1 \cdot (ln (18 + 7) - ln (22 + 7)) = ln (25) - ln (29)

= - \frac{ln ( 25 ) - ln ( 29 )}{45}

ln (25) = 2 ln (5)

= - \frac{2 ln ( 5 ) - ln ( 29 )}{45}

6000 ln (100) - 6000 ln (50)

lo g_{3} (147) - lo g_{3} (70) - lo g_{3} (189)

ln (2 \cdot 1)

x - ln ∣ x + 4 ∣ + ln ∣ x ∣

\frac{4 \cdot π \cdot 1 0 ^{- 7}}{2 \cdot π} \cdot ln (\frac{27}{16})

What is simplify-1/45 ln((18-(-7))/(22-(-7))) ?
The solution to simplify-1/45 ln((18-(-7))/(22-(-7))) is -(2ln(5)-ln(29))/(45)