What is ln(w)+6ln(u)-2ln(v) ?

The solution to ln(w)+6ln(u)-2ln(v) is ln((wu^6)/(v^2))

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simplify ln(w)+6ln(u)-2ln(v)

simplify

ln (w) + 6 ln (u) - 2 ln (v)

ln (\frac{w u ^{6}}{v ^{2}})

Solution steps

ln (w) + 6 ln (u) - 2 ln (v)

Apply log rule:

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

6 ln (u) = ln (u^{6})

= ln (w) + ln (u^{6}) - 2 ln (v)

Apply log rule:

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

ln (w) + ln (u^{6}) = ln (w u^{6})

= ln (w u^{6}) - 2 ln (v)

Apply log rule:

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

2 ln (v) = ln (v^{2})

= ln (w u^{6}) - ln (v^{2})

Apply log rule:

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

ln (w u^{6}) - ln (v^{2}) = ln (\frac{w u ^{6}}{v ^{2}})

= ln (\frac{w u ^{6}}{v ^{2}})

\frac{9}{2} ln (\frac{3}{2}) + \frac{3}{8} - ln (2) - ln (2)

182000 (ln (0.79) - ln (1.3))

x e^{y} + y e^{z} + 2 ln (x) - 2 - ln (8)

5 \cdot ln (3 \cdot 45)

ln (c^{2} a)

What is ln(w)+6ln(u)-2ln(v) ?
The solution to ln(w)+6ln(u)-2ln(v) is ln((wu^6)/(v^2))