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Popular >

simplify ln|x-2|-ln|x-1|

Solution

simplify

ln ∣ x - 2 ∣ - ln ∣ x - 1 ∣

Solution

ln (\frac{∣ x - 2 ∣}{∣ x - 1 ∣})

Solution steps

ln ∣ x - 2 ∣ - ln ∣ x - 1 ∣

Apply log rule:

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

ln ∣ x - 2 ∣ - ln ∣ x - 1 ∣ = ln (\frac{∣ x - 2 ∣}{∣ x - 1 ∣})

= ln (\frac{∣ x - 2 ∣}{∣ x - 1 ∣})

Popular Examples

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ln (\frac{x ^{3} - y ^{3}}{x ^{2} + y ^{2}})

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- lo g_{10} (6.12121 \cdot 1 0^{- 13})

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2 ln (3) - 2 ln (9) - 2 ln (2) + 2 ln (7)

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37.66 \cdot ln (\frac{273}{263})

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\frac{\frac{π}{4}}{2} (ln (2) + ln (3))

Frequently Asked Questions (FAQ)

What is ln|x-2|-ln|x-1| ?
The solution to ln|x-2|-ln|x-1| is ln((|x-2|)/(|x-1|))