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)

ln (2 x) - 2 ln (y) + ln (z)

ln (\frac{5 x}{y ^{2}})

ln (y) - ln (c) - ln (x)

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

3 ln (x) + 2 ln (y)

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