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Popular >

simplify ln(x/(sqrt(x-3)))

Solution

simplify

ln (\frac{x}{x - 3})

Solution

ln (x) - ln (x - 3)

Solution steps

ln (\frac{x}{x - 3})

Apply log rule:

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

ln (\frac{x}{x - 3}) = ln (x) - ln (x - 3)

= ln (x) - ln (x - 3)

Popular Examples

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3 \cdot ln (x) + 3 \cdot ln (y)

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lo g_{3} (3^{- 4})

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ln (35 x)

simplify log_{2}(1/(8x))simplify

lo g_{2} (\frac{1}{8 x})

Frequently Asked Questions (FAQ)

What is ln(x/(sqrt(x-3))) ?
The solution to ln(x/(sqrt(x-3))) is ln(x)-ln(sqrt(x-3))