What is factor ln(4/x)+ln(2/(x^3)) ?

The solution to factor ln(4/x)+ln(2/(x^3)) is ln(8/(x^4))

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factor ln(4/x)+ln(2/(x^3))

factor

ln (\frac{4}{x}) + ln (\frac{2}{x ^{3}})

ln (\frac{8}{x ^{4}})

Solution steps

ln (\frac{4}{x}) + ln (\frac{2}{x ^{3}})

Apply log rule:

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

ln (\frac{4}{x}) + ln (\frac{2}{x ^{3}}) = ln (\frac{4}{x} \cdot \frac{2}{x ^{3}})

= ln (\frac{4}{x} \cdot \frac{2}{x ^{3}})

Factor

\frac{4}{x} \cdot \frac{2}{x ^{3}} : \frac{8}{x ^{4}}

= ln (\frac{8}{x ^{4}})

ln (y^{\frac{1}{2}}) - ln (x)

ln (\frac{2}{2.8})

7 lo g_{5} (a) + 4 lo g_{5} (z)

ln (x^{2} + 3 x + 3) - ln (x^{2} + x + 1)

ln (\frac{3 \cdot x ^{3} + 2 \cdot π}{9 \cdot x + c})

What is factor ln(4/x)+ln(2/(x^3)) ?
The solution to factor ln(4/x)+ln(2/(x^3)) is ln(8/(x^4))