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Popular >

simplify 1/5 ln(1/(5-0.8Q))

Solution

simplify

\frac{1}{5} ln (\frac{1}{5 - 0.8 Q})

Solution

- \frac{1}{5} ln (- 0.8 Q + 5)

Solution steps

\frac{1}{5} ln (\frac{1}{5 - 0.8 Q})

Apply log rule:

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

ln (\frac{1}{5 - 0.8 Q}) = ln (1) - ln (5 - 0.8 Q)

= \frac{1}{5} (- ln (- 0.8 Q + 5) + ln (1))

Apply log rule:

lo g_{a} (1) = 0

= \frac{1}{5} (- ln (- 0.8 Q + 5) + 0)

Refine

= - \frac{1}{5} ln (- 0.8 Q + 5)

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Frequently Asked Questions (FAQ)

What is 1/5 ln(1/(5-0.8Q)) ?
The solution to 1/5 ln(1/(5-0.8Q)) is -1/5 ln(-0.8Q+5)