What is ln(x^6)-4ln(\sqrt[4]{x^3}) ?

The solution to ln(x^6)-4ln(\sqrt[4]{x^3}) is ln(x^3)

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simplify ln(x^6)-4ln(\sqrt[4]{x^3})

simplify

ln (x^{3})

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^{3})

ln (x (x + 9))

- lo g_{6} (3) + 2 lo g_{6} (3) + lo g_{6} (5)

ln (2 e) - ln (e)

\frac{1}{2} lo g_{10} (c) + 6 lo g_{10} (d)

lo g_{a} (\frac{1}{6})

What is ln(x^6)-4ln(\sqrt[4]{x^3}) ?
The solution to ln(x^6)-4ln(\sqrt[4]{x^3}) is ln(x^3)