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Popular >

simplify ln(x^5)+ln(x^{-1})

Solution

simplify

ln (x^{5}) + ln (x^{- 1})

Solution

ln (x^{4})

Solution steps

ln (x^{5}) + ln (x^{- 1})

Apply log rule:

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

ln (x^{5}) + ln (x^{- 1}) = ln (x^{- 1} x^{5})

= ln (x^{- 1} x^{5})

Simplify

x^{5} x^{- 1} : x^{4}

= ln (x^{4})

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Frequently Asked Questions (FAQ)

What is ln(x^5)+ln(x^{-1}) ?
The solution to ln(x^5)+ln(x^{-1}) is ln(x^4)