What is ln(x^5)-4ln(\sqrt[4]{x^3}) ?

The solution to ln(x^5)-4ln(\sqrt[4]{x^3}) is ln(x^2)

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simplify ln(x^5)-4ln(\sqrt[4]{x^3})

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 (x + 5) + ln (x - 5)

lo g_{10} (\frac{7 x}{2})

lo g_{3} (9 x^{5})

ln (a + b) + ln (a - b) - 7 ln (c)

lo g_{7} (\frac{x ^{12}}{x - 3})

What is ln(x^5)-4ln(\sqrt[4]{x^3}) ?
The solution to ln(x^5)-4ln(\sqrt[4]{x^3}) is ln(x^2)