What is ln((sqrt(c))/(ab)) ?

The solution to ln((sqrt(c))/(ab)) is ln(sqrt(c))-ln(a)-ln(b)

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simplify ln((sqrt(c))/(ab))

simplify

ln (\frac{c}{ab})

ln (c) - ln (a) - ln (b)

Solution steps

ln (\frac{c}{ab})

Apply log rule:

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

ln (\frac{c}{ab}) = ln (c) - ln (ab)

= ln (c) - ln (ab)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (ab) = ln (a) + ln (b)

= ln (c) - (ln (a) + ln (b))

- (ln (a) + ln (b)) : - ln (a) - ln (b)

= ln (c) - ln (a) - ln (b)

10 \cdot lo g_{10} (0.1 \cdot (\frac{0.125}{4 \cdot π \cdot 8})^{2})

ln (\frac{1}{2}) \cdot ln (\frac{1}{2})

ln (\frac{n !}{x ^{n + 1}})

ln (\frac{x ^{2}}{sin ^{3} ( x )})

- 0.1 ln (0.1) - (1 - 0.1) ln (1 - 0.1)

What is ln((sqrt(c))/(ab)) ?
The solution to ln((sqrt(c))/(ab)) is ln(sqrt(c))-ln(a)-ln(b)