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Popular >

simplify 5ln|x-1|-ln|x|

Solution

simplify

5 ln ∣ x - 1 ∣ - ln ∣ x ∣

Solution

ln (\frac{∣ x - 1 ∣ ^{5}}{∣ x ∣})

Solution steps

5 ln ∣ x - 1 ∣ - ln ∣ x ∣

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

5 ln ∣ x - 1 ∣ = ln (∣ x - 1 ∣^{5})

= ln (∣ x - 1 ∣^{5}) - ln ∣ x ∣

Apply log rule:

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

ln (∣ x - 1 ∣^{5}) - ln ∣ x ∣ = ln (\frac{∣ x - 1 ∣ ^{5}}{∣ x ∣})

= ln (\frac{∣ x - 1 ∣ ^{5}}{∣ x ∣})

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Frequently Asked Questions (FAQ)

What is 5ln|x-1|-ln|x| ?
The solution to 5ln|x-1|-ln|x| is ln((|x-1|^5)/(|x|))