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Popular >

simplify ln(((x^8))/(x-4))

Solution

simplify

ln (\frac{( x ^{8} )}{x - 4})

Solution

8 ln (x) - ln (x - 4)

Solution steps

ln (\frac{( x ^{8} )}{x - 4})

Apply log rule:

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

ln (\frac{( x ^{8} )}{x - 4}) = ln ((x^{8})) - ln (x - 4)

= ln (x^{8}) - ln (x - 4)

Apply log rule:

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

ln (x^{8}) = 8 ln (x)

= 8 ln (x) - ln (x - 4)

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Frequently Asked Questions (FAQ)

What is ln(((x^8))/(x-4)) ?
The solution to ln(((x^8))/(x-4)) is 8ln(x)-ln(x-4)