What is ln((e^4p^7)/(5n^2\sqrt[3]{m-1)}) ?

The solution to ln((e^4p^7)/(5n^2\sqrt[3]{m-1)}) is 4+7ln(p)-ln(5)-2ln(n)-ln(\sqrt[3]{m-1})

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simplify ln((e^4p^7)/(5n^2\sqrt[3]{m-1)})

simplify

Solution steps

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (e^{4}) = 4 ln (e)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (p^{7}) = 7 ln (p)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (n^{2}) = 2 ln (n)

4 ln (e) = 4

4 lo g_{3} (x) - 4 lo g_{3} (y)

lo g_{a} (4 a)

lo g_{10} (\frac{b ^{3} c ^{7}}{a ^{3}})

lo g_{10} (\frac{x ^{3} m}{t ^{2} z})

lo g_{10} (x) + lo g_{10} (x + 3) - lo g_{10} (4)

What is ln((e^4p^7)/(5n^2\sqrt[3]{m-1)}) ?
The solution to ln((e^4p^7)/(5n^2\sqrt[3]{m-1)}) is 4+7ln(p)-ln(5)-2ln(n)-ln(\sqrt[3]{m-1})