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How to use it?
How do you in partial fractions?:
(x^2-8*x+15)/(x^2-25)
(x+1-1/1-x)/(x-x2/x-1)
(w*i*0.00005)/(1+w*i*0.00005)
tg(7/(sqrt(3(n^4+2))))
Factor polynomial:
x^n-2*x^n-3*x
x^n-2*x^2*x^n+2
x^9+x^8+x^7+x^5+x^4+x^2
x+9*x^4
Least common denominator:
sqrt(x)*exp(x/2)/2+exp(x/2)/(2*sqrt(x))
sqrt(x)*(5/x+3*sqrt(x)/2)+(5*log(x)+x^(3/2))/(2*sqrt(x))
sqrt(x^3/(2-x))*(2-x)*(x^3/(2*(2-x)^2)+3*x^2/(2*(2-x)))/x^3
sqrt(x*(2-x))/2+sqrt(x*(2-x))*(1-x)*(3+x)/(2*x*(2-x))
Factor squared:
-y^2+y+8
y^2+y-8
-y^2+9*y+5
y^2-9*y-5
Least common denominator:
log((4*x-2*sqrt(10))/(2*sqrt(10)+4*x))/(2*sqrt(10))
Identical expressions
log((four *x- two *sqrt(ten))/(two *sqrt(ten)+ four *x))/(two *sqrt(ten))
logarithm of ((4 multiply by x minus 2 multiply by square root of (10)) divide by (2 multiply by square root of (10) plus 4 multiply by x)) divide by (2 multiply by square root of (10))
logarithm of ((four multiply by x minus two multiply by square root of (ten)) divide by (two multiply by square root of (ten) plus four multiply by x)) divide by (two multiply by square root of (ten))
log((4*x-2*√(10))/(2*√(10)+4*x))/(2*√(10))
log((4x-2sqrt(10))/(2sqrt(10)+4x))/(2sqrt(10))
log4x-2sqrt10/2sqrt10+4x/2sqrt10
log((4*x-2*sqrt(10)) divide by (2*sqrt(10)+4*x)) divide by (2*sqrt(10))
Similar expressions
log((4*x+2*sqrt(10))/(2*sqrt(10)+4*x))/(2*sqrt(10))
log((4*x-2*sqrt(10))/(2*sqrt(10)-4*x))/(2*sqrt(10))

Expression simplification/ Fraction Decomposition into the simple/ log((4*x-2*sqrt(10))/(2*sqrt(10)+4*x))/(2*sqrt(10))

How do you log((4x-2sqrt(10))/(2sqrt(10)+4x))/(2*sqrt(10)) in partial fractions?

The solution

You have entered [src]

   /          ____\
   |4*x - 2*\/ 10 |
log|--------------|
   |    ____      |
   \2*\/ 10  + 4*x/
-------------------
          ____     
      2*\/ 10

$$\frac{\log{\left(\frac{4 x - 2 \sqrt{10}}{4 x + 2 \sqrt{10}} \right)}}{2 \sqrt{10}}$$

log((4*x - 2*sqrt(10))/(2*sqrt(10) + 4*x))/((2*sqrt(10)))

Fraction decomposition [src]

sqrt(10)*log(-2*sqrt(10)/(2*sqrt(10) + 4*x) + 4*x/(2*sqrt(10) + 4*x))/20

$$\frac{\sqrt{10} \log{\left(\frac{4 x}{4 x + 2 \sqrt{10}} - \frac{2 \sqrt{10}}{4 x + 2 \sqrt{10}} \right)}}{20}$$

          /         ____                    \
  ____    |     2*\/ 10            4*x      |
\/ 10 *log|- -------------- + --------------|
          |      ____             ____      |
          \  2*\/ 10  + 4*x   2*\/ 10  + 4*x/
---------------------------------------------
                      20

General simplification [src]

          /    ____      \
  ____    |- \/ 10  + 2*x|
\/ 10 *log|--------------|
          |   ____       |
          \ \/ 10  + 2*x /
--------------------------
            20

$$\frac{\sqrt{10} \log{\left(\frac{2 x - \sqrt{10}}{2 x + \sqrt{10}} \right)}}{20}$$

sqrt(10)*log((-sqrt(10) + 2*x)/(sqrt(10) + 2*x))/20

Rational denominator [src]

          /       2         ____\
  ____    |5 + 2*x  - 2*x*\/ 10 |
\/ 10 *log|---------------------|
          |              2      |
          \      -5 + 2*x       /
---------------------------------
                20

$$\frac{\sqrt{10} \log{\left(\frac{2 x^{2} - 2 \sqrt{10} x + 5}{2 x^{2} - 5} \right)}}{20}$$

sqrt(10)*log((5 + 2*x^2 - 2*x*sqrt(10))/(-5 + 2*x^2))/20

Numerical answer [src]

0.158113883008419*log((4*x - 2*sqrt(10))/(2*sqrt(10) + 4*x))

0.158113883008419*log((4*x - 2*sqrt(10))/(2*sqrt(10) + 4*x))

Combinatorics [src]

          /         ____                    \
  ____    |     2*\/ 10            4*x      |
\/ 10 *log|- -------------- + --------------|
          |      ____             ____      |
          \  2*\/ 10  + 4*x   2*\/ 10  + 4*x/
---------------------------------------------
                      20

$$\frac{\sqrt{10} \log{\left(\frac{4 x}{4 x + 2 \sqrt{10}} - \frac{2 \sqrt{10}}{4 x + 2 \sqrt{10}} \right)}}{20}$$

sqrt(10)*log(-2*sqrt(10)/(2*sqrt(10) + 4*x) + 4*x/(2*sqrt(10) + 4*x))/20

Common denominator [src]

          /       ____                  \
  ____    |     \/ 10           2*x     |
\/ 10 *log|- ------------ + ------------|
          |    ____           ____      |
          \  \/ 10  + 2*x   \/ 10  + 2*x/
-----------------------------------------
                    20

$$\frac{\sqrt{10} \log{\left(\frac{2 x}{2 x + \sqrt{10}} - \frac{\sqrt{10}}{2 x + \sqrt{10}} \right)}}{20}$$

sqrt(10)*log(-sqrt(10)/(sqrt(10) + 2*x) + 2*x/(sqrt(10) + 2*x))/20

Trigonometric part [src]

          /      ____      \
  ____    |- 2*\/ 10  + 4*x|
\/ 10 *log|----------------|
          |     ____       |
          \ 2*\/ 10  + 4*x /
----------------------------
             20

$$\frac{\sqrt{10} \log{\left(\frac{4 x - 2 \sqrt{10}}{4 x + 2 \sqrt{10}} \right)}}{20}$$

sqrt(10)*log((-2*sqrt(10) + 4*x)/(2*sqrt(10) + 4*x))/20

Combining rational expressions [src]

          /    ____      \
  ____    |- \/ 10  + 2*x|
\/ 10 *log|--------------|
          |   ____       |
          \ \/ 10  + 2*x /
--------------------------
            20

$$\frac{\sqrt{10} \log{\left(\frac{2 x - \sqrt{10}}{2 x + \sqrt{10}} \right)}}{20}$$

sqrt(10)*log((-sqrt(10) + 2*x)/(sqrt(10) + 2*x))/20

Powers [src]

          /      ____      \
  ____    |- 2*\/ 10  + 4*x|
\/ 10 *log|----------------|
          |     ____       |
          \ 2*\/ 10  + 4*x /
----------------------------
             20

$$\frac{\sqrt{10} \log{\left(\frac{4 x - 2 \sqrt{10}}{4 x + 2 \sqrt{10}} \right)}}{20}$$

sqrt(10)*log((-2*sqrt(10) + 4*x)/(2*sqrt(10) + 4*x))/20

Assemble expression [src]

          /          ____\
  ____    |4*x - 2*\/ 10 |
\/ 10 *log|--------------|
          |    ____      |
          \2*\/ 10  + 4*x/
--------------------------
            20

$$\frac{\sqrt{10} \log{\left(\frac{4 x - 2 \sqrt{10}}{4 x + 2 \sqrt{10}} \right)}}{20}$$

sqrt(10)*log((4*x - 2*sqrt(10))/(2*sqrt(10) + 4*x))/20

Expand expression [src]

          /          ____\
  ____    |4*x - 2*\/ 10 |
\/ 10 *log|--------------|
          |    ____      |
          \2*\/ 10  + 4*x/
--------------------------
            20

$$\frac{\sqrt{10} \log{\left(\frac{4 x - 2 \sqrt{10}}{4 x + 2 \sqrt{10}} \right)}}{20}$$

sqrt(10)*log((4*x - 2*sqrt(10))/(2*sqrt(10) + 4*x))/20

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Identical expressions

Similar expressions

How do you log((4*x-2*sqrt(10))/(2*sqrt(10)+4*x))/(2*sqrt(10)) in partial fractions?

The solution

How do you log((4x-2sqrt(10))/(2sqrt(10)+4x))/(2*sqrt(10)) in partial fractions?