What is join-3ln(1-((0.88)Q)/(Q_{0)}) ?

The solution to join-3ln(1-((0.88)Q)/(Q_{0)}) is -ln((1-(0.88Q)/(Q_{0)})^3)

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join-3ln(1-((0.88)Q)/(Q_{0)})

join

- 3 ln (1 - \frac{( 0.88 ) Q}{Q _{0}})

- ln ((1 - \frac{0.88 Q}{Q _{0}})^{3})

Solution steps

- 3 ln (1 - \frac{( 0.88 ) Q}{Q _{0}})

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

- 3 ln (1 - \frac{( 0.88 ) Q}{Q _{0}}) = - ln ((1 - \frac{( 0.88 ) Q}{Q _{0}})^{3})

= - ln ((- \frac{0.88 Q}{Q _{0}} + 1)^{3})

5 ln (x + 3) + 3 ln (2 x) - 4 ln (x - 1)

ln (7) + 3 ln (2)

ln (7) + 3 ln (4)

ln (\frac{13000}{10815})

ln (8) + 4 ln (3)

What is join-3ln(1-((0.88)Q)/(Q_{0)}) ?
The solution to join-3ln(1-((0.88)Q)/(Q_{0)}) is -ln((1-(0.88Q)/(Q_{0)})^3)