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Popular >

simplify ln(1+3x)-ln(1-x)

Solution

simplify

ln (1 + 3 x) - ln (1 - x)

Solution

ln (\frac{1 + 3 x}{1 - x})

Solution steps

ln (1 + 3 x) - ln (1 - x)

Apply log rule:

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

ln (1 + 3 x) - ln (1 - x) = ln (\frac{3 x + 1}{- x + 1})

= ln (\frac{1 + 3 x}{1 - x})

Popular Examples

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- lo g_{10} (2.645 \cdot 1 0^{- 6})

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ln (\frac{( \frac{1000000}{233687} )}{0.1})

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- lo g_{10} (2.35 \cdot 1 0^{- 3})

Frequently Asked Questions (FAQ)

What is ln(1+3x)-ln(1-x) ?
The solution to ln(1+3x)-ln(1-x) is ln((1+3x)/(1-x))