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Popular >

simplify 2ln(x+1)-ln(x)

Solution

simplify

2 ln (x + 1) - ln (x)

Solution

ln (\frac{( x + 1 ) ^{2}}{x})

Solution steps

2 ln (x + 1) - ln (x)

Apply log rule:

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

2 ln (x + 1) = ln ((x + 1)^{2})

= ln ((x + 1)^{2}) - ln (x)

Apply log rule:

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

ln ((x + 1)^{2}) - ln (x) = ln (\frac{( x + 1 ) ^{2}}{x})

= ln (\frac{( x + 1 ) ^{2}}{x})

Popular Examples

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ln^{2} (x) - ln (ln (x))

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ln (\frac{k ^{8}}{m ^{4}})

simplify 0.98*ln(4*29600)+0.02*ln(4*24600)simplify

0.98 \cdot ln (4 \cdot 29600) + 0.02 \cdot ln (4 \cdot 24600)

simplify-log_{10}(5.86*10^{-7})simplify

- lo g_{10} (5.86 \cdot 1 0^{- 7})

simplify 3ln(2)+6ln(y)simplify

3 ln (2) + 6 ln (y)

Frequently Asked Questions (FAQ)

What is 2ln(x+1)-ln(x) ?
The solution to 2ln(x+1)-ln(x) is ln(((x+1)^2)/x)