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Popular >

simplify ln((n^7)/8)

Solution

simplify

ln (\frac{n ^{7}}{8})

Solution

7 ln (n) - 3 ln (2)

Solution steps

ln (\frac{n ^{7}}{8})

Apply log rule:

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

ln (\frac{n ^{7}}{8}) = ln (n^{7}) - ln (8)

= ln (n^{7}) - ln (8)

Apply log rule:

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

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

= 7 ln (n) - ln (8)

ln (8) = 3 ln (2)

= 7 ln (n) - 3 ln (2)

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Frequently Asked Questions (FAQ)

What is ln((n^7)/8) ?
The solution to ln((n^7)/8) is 7ln(n)-3ln(2)