What is ln(-2x+1)-ln(-x+1) ?

The solution to ln(-2x+1)-ln(-x+1) is ln((-2x+1)/(-x+1))

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simplify ln(-2x+1)-ln(-x+1)

simplify

ln (- 2 x + 1) - ln (- x + 1)

ln (\frac{- 2 x + 1}{- x + 1})

Solution steps

ln (- 2 x + 1) - ln (- x + 1)

Apply log rule:

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

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

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

ln (\frac{10}{40})

5 lo g_{2} (x) + lo g_{2} (t)

2 lo g_{6} (x) + 4 lo g_{6} (y)

ln (\frac{1 0 ^{17}}{1 0 ^{18}})

- lo g_{10} (5.5 \cdot 1 0^{- 14})

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