What is ln(x^5)-3ln(\sqrt[3]{x}) ?

The solution to ln(x^5)-3ln(\sqrt[3]{x}) is ln(x^4)

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simplify ln(x^5)-3ln(\sqrt[3]{x})

simplify

ln (x^{4})

Solution steps

Apply log rule:

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

Apply log rule:

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

Simplify

= ln (x^{4})

4 ln (x) + 6 ln (y) - 5 ln (z)

3 π + 16 ln (\frac{2}{2})

\frac{1}{2} lo g_{10} (x) - 3 lo g_{10} (sin (2 x)) + 2

ln (\frac{15625}{2187})

What is ln(x^5)-3ln(\sqrt[3]{x}) ?
The solution to ln(x^5)-3ln(\sqrt[3]{x}) is ln(x^4)