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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

= ln (x - 1) - ln (x - 2)

Popular Examples

simplify-8/14 log_{2}(8/14)-6/14 log_{2}(6/14)simplify

- \frac{8}{14} lo g_{2} (\frac{8}{14}) - \frac{6}{14} lo g_{2} (\frac{6}{14})

simplify log_{10}(5/36)-log_{10}(5/9)simplify

lo g_{10} (\frac{5}{36}) - lo g_{10} (\frac{5}{9})

simplify-1/(44.6)ln(1/2)simplify

- \frac{1}{44.6} ln (\frac{1}{2})

expand log_{5}(x/(x+2))expand

lo g_{5} (\frac{x}{x + 2})

simplify 5ln((0.7)/3)simplify

5 ln (\frac{0.7}{3})

Frequently Asked Questions (FAQ)

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