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log-solve-sqrt

eq1: log(a/b) = (2*3....

solve(eq1,sigma);

Calculate

log

log(1/a);

Calculate

log-ratsimp-solve-sqrt

solve(4^x+(1/4)^x=14,x);

a:log(7+4*sqrt(3))/(l...

ratsimp(log(2^a+(1/2)...

Calculate

log-solve

solve(log(a+x), x);

Calculate

log-plot2d-sqrt
plot2d(log(x) - log(2) - (x-2)^2/sqrt(2) , [x, 2.6, 2.65]);

plot2d(log(x) - log(2...

Calculate

log-plot3d
plot3d(f(x,y),[x,-10,10],[y,-10,10]);

f(x,y):=log(x);

plot3d(f(x,y),[x,-10,...

Calculate

log-solve-sqrt

solve(log(0.00760/x)=...

solve(log(19/(2500*x)...

Calculate

log

a:log(x) + x = ysolve...

Calculate

log

log(1+2^2);

Calculate

log

Run Example
(%i1)f1(xi):= 1-xi^2;
                                               2
(%o1)                          f1(xi) := 1 - xi
(%i2) f2(xi):= log(1/xi);
                                             1
(%o2)                          f2(xi) := log(--)
                                             xi
(%i3) integrate(xi*f1(xi),xi,k,1);
                                  4      2
                                 k  - 2 k  + 1
(%o3)                            -------------
                                       4
(%i4) integrate(xi*f2(xi),xi);
                                 2     2
                               xi    xi  log(xi)
(%o4)                          --- - -----------
                                4         2
(%i5) 
Run Example
e1: 2*(2*a*log(y)+a*log(x));
(%o1)                      2 (2 a log(y) + a log(x))
(%i2) logcontract(e1);
                                        2  4
(%o2)                            a log(x  y )
(%i3) e2:-4*log(4)/3  + log(3)+ 2 *log(2) + 1;
                        4 log(4)
(%o3)                 - -------- + log(3) + 2 log(2) + 1
                           3
(%i4)  logcontract(e2);
                                      4 log(4)
(%o4)                       log(12) - -------- + 1
                                         3
(%i5) 
Run Example
diff(log(%e));
(%o1)                                  0
(%i2) 

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