What is ln(x^6)-4ln(\sqrt[4]{x^5}) ?

The solution to ln(x^6)-4ln(\sqrt[4]{x^5}) is ln(x)

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simplify ln(x^6)-4ln(\sqrt[4]{x^5})

simplify

ln (x)

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)

lo g_{10} (9 x^{4}) + lo g_{10} (5 x^{5})

lo g_{3} (x) - lo g_{3} (x^{9})

192 ln (\frac{192}{762}) - 192 + 763

lo g_{10} (\frac{y ^{8}}{z})

lo g_{13} (\frac{13}{y})

What is ln(x^6)-4ln(\sqrt[4]{x^5}) ?
The solution to ln(x^6)-4ln(\sqrt[4]{x^5}) is ln(x)