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Popular >

simplify ln((x-1)/x)

Solution

simplify

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

Solution

ln (x - 1) - ln (x)

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify log_{10}(3)+log_{10}(x-8)simplify

lo g_{10} (3) + lo g_{10} (x - 8)

simplify 2[ln(x)+1/4 ln(x+9)]simplify

2 [ln (x) + \frac{1}{4} ln (x + 9)]

simplify log_{10}(3)+log_{10}(x-4)simplify

lo g_{10} (3) + lo g_{10} (x - 4)

simplify log_{10}(x^{1/2}(x+1)^3)simplify

lo g_{10} (x^{\frac{1}{2}} (x + 1)^{3})

expand log_{4}(13b^6c)expand

lo g_{4} (13 b^{6} c)

Frequently Asked Questions (FAQ)

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