What is ln(x^4)-3ln(\sqrt[3]{x^2}) ?

The solution to ln(x^4)-3ln(\sqrt[3]{x^2}) is ln(x^2)

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simplify ln(x^4)-3ln(\sqrt[3]{x^2})

simplify

ln (x^{2})

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^{2})

lo g_{10} (23 c d)

lo g_{e} (\frac{4}{5})

lo g_{8} (9) + lo g_{8} (11)

5 lo g_{7} (v) + 10 lo g_{7} (w) - \frac{lo g _{7} ( u )}{5}

lo g_{a} (u^{2} v^{5})

What is ln(x^4)-3ln(\sqrt[3]{x^2}) ?
The solution to ln(x^4)-3ln(\sqrt[3]{x^2}) is ln(x^2)