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Popular >

simplify ln(1000-x)-ln(x)

Solution

simplify

ln (1000 - x) - ln (x)

Solution

ln (\frac{1000 - x}{x})

Solution steps

ln (1000 - x) - ln (x)

Apply log rule:

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

ln (1000 - x) - ln (x) = ln (\frac{- x + 1000}{x})

= ln (\frac{1000 - x}{x})

Popular Examples

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ln (7 x^{3} - 9) - ln (2 x^{2} + 7)

simplify ln(5000000/3200000)simplify

ln (\frac{5000000}{3200000})

simplify ln^{5/7}(1/2)simplify

ln^{\frac{5}{7}} (\frac{1}{2})

simplify ln(283/273)simplify

ln (\frac{283}{273})

Frequently Asked Questions (FAQ)

What is ln(1000-x)-ln(x) ?
The solution to ln(1000-x)-ln(x) is ln((1000-x)/x)