What is ln(x^4)-5ln(\sqrt[5]{x^2}) ?

The solution to ln(x^4)-5ln(\sqrt[5]{x^2}) is ln(x^2)

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

ln (81 e)

lo g_{2} (a^{2} + 7) - lo g_{2} (a^{2} + 5)

- 3 ln (2) + 2 ln (3)

lo g_{2} (\frac{5 ^{75} 3}{3 ^{38}}) - \frac{75}{2}

lo g_{4} (6 (5 + 2 x))

What is ln(x^4)-5ln(\sqrt[5]{x^2}) ?
The solution to ln(x^4)-5ln(\sqrt[5]{x^2}) is ln(x^2)