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Popular >

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

Solution

simplify

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

Solution

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

Solution steps

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

Apply log rule:

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

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

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

Popular Examples

simplify log_{2}((4*10^{-8})/(128*10^4))simplify

lo g_{2} (\frac{4 \cdot 1 0 ^{- 8}}{128 \cdot 1 0 ^{4}})

simplify ln(2pi)-ln(pi)simplify

ln (2 π) - ln (π)

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

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

simplify ln((1.3)/(4.7+1))0.00481 simplify

ln (\frac{1.3}{4.7 + 1}) 0.00481

simplify ln(6/4)simplify

ln (\frac{6}{4})

Frequently Asked Questions (FAQ)

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