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Popular >

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

Solution

simplify

ln (x^{2} - 1) - ln (x - 1)

Solution

ln (x + 1)

Solution steps

ln (x^{2} - 1) - ln (x - 1)

Apply log rule:

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

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

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

Simplify

\frac{x ^{2} - 1}{x - 1} : x + 1

= ln (x + 1)

Popular Examples

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5 ln (u) - 2 ln (6)

simplify log_{4}(5)+log_{4}(16)+log_{4}(1.25)simplify

lo g_{4} (5) + lo g_{4} (16) + lo g_{4} (1.25)

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ln (\frac{25.65}{95})

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lo g_{5} (3 x^{2}) + ln (4 x^{3})

simplify 1/(11.81*10^{-4)}ln((1.3)/(0.02))simplify

\frac{1}{11.81 \cdot 1 0 ^{- 4}} ln (\frac{1.3}{0.02})

Frequently Asked Questions (FAQ)

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