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Popular >

simplify ln(x)-4ln(x^2+1)

Solution

simplify

ln (x) - 4 ln (x^{2} + 1)

Solution

ln (\frac{x}{( x ^{2} + 1 ) ^{4}})

Solution steps

ln (x) - 4 ln (x^{2} + 1)

Apply log rule:

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

4 ln (x^{2} + 1) = ln ((x^{2} + 1)^{4})

= ln (x) - ln ((x^{2} + 1)^{4})

Apply log rule:

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

ln (x) - ln ((x^{2} + 1)^{4}) = ln (\frac{x}{( x ^{2} + 1 ) ^{4}})

= ln (\frac{x}{( x ^{2} + 1 ) ^{4}})

Popular Examples

simplify ln(3)-ln(7/3)simplify

ln (3) - ln (\frac{7}{3})

simplify ln((0.32)/(12))simplify

ln (\frac{0.32}{12})

simplify ln(45)+ln(15)simplify

ln (45) + ln (15)

simplify 4ln(3)+ln(2^5)simplify

4 ln (3) + ln (2^{5})

simplify-log_{10}(5.8x10^{-9})simplify

- lo g_{10} (5.8 x 1 0^{- 9})

Frequently Asked Questions (FAQ)

What is ln(x)-4ln(x^2+1) ?
The solution to ln(x)-4ln(x^2+1) is ln(x/((x^2+1)^4))