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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

3 ln (x + 1) = ln ((x + 1)^{3})

= ln (x) - ln ((x + 1)^{3})

Apply log rule:

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

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

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

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Frequently Asked Questions (FAQ)

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