What is ln((w^3)/(sqrt(z))) ?

The solution to ln((w^3)/(sqrt(z))) is 3ln(w)-ln(sqrt(z))

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simplify ln((w^3)/(sqrt(z)))

simplify

ln (\frac{w ^{3}}{z})

3 ln (w) - ln (z)

Solution steps

ln (\frac{w ^{3}}{z})

Apply log rule:

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

ln (\frac{w ^{3}}{z}) = ln (w^{3}) - ln (z)

= ln (w^{3}) - ln (z)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (w^{3}) = 3 ln (w)

= 3 ln (w) - ln (z)

lo g_{3} (\frac{( x + 4 ) ^{2}}{x ^{2} + y ^{2}})

2 lo g_{6} (u) + 7 lo g_{6} (v)

lo g_{5} (\frac{x ^{4} y ^{9}}{z ^{6}})

\frac{1}{2} [lo g_{2} (x) + lo g_{2} (x + 1)]

ln (\frac{x ^{2} - x - 2}{( x + 4 ) ^{2}})^{\frac{1}{3}}

What is ln((w^3)/(sqrt(z))) ?
The solution to ln((w^3)/(sqrt(z))) is 3ln(w)-ln(sqrt(z))