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

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

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

ln (\frac{4 x}{7 y ^{2}})

lo g_{5} (\frac{25 b ^{5} y ^{2} - 6}{y ( x + 6 ) ^{2}})

lo g_{2} (\frac{p ^{5}}{q ^{9}})

- lo g_{10} (6.5 \cdot 1 0^{- 6})

lo g_{10} (\frac{x ^{6}}{z})

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