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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

\frac{w ^{3}}{z} : \frac{w ^{3} z}{z}

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

lo g_{5} (x + 1) - 2 lo g_{5} (x)

ln (x + 2) + 3 ln (x - 4) - ln (x)

2 ln (x) - 2 ln (x - 1)

\frac{1}{3} (ln (y) - 2 ln (y + y))

- lo g_{e} (\frac{( - 1 )}{2})

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