Mister Exam
log3(x)+log3(y)=3; x-y=-6
The solution
You have entered
[src]
log(x) log(y) ------ + ------ = 3 log(3) log(3)
$$\frac{\log{\left(x \right)}}{\log{\left(3 \right)}} + \frac{\log{\left(y \right)}}{\log{\left(3 \right)}} = 3$$
x - y = -6
$$x - y = -6$$
x - y = -6
Rapid solution
$$x_{1} = 3$$
=
$$3$$
=
$$y_{1} = 9$$
=
$$9$$
=
=
$$3$$
=
3
$$y_{1} = 9$$
=
$$9$$
=
9
Numerical answer
[src]
x1 = 3.0 - 1.049717535843709e-31*i y1 = 9.0 - 1.049717535843709e-31*i
x2 = 3.0 + 4.376235044655318e-23*i y2 = 9.0 + 4.376235044655308e-23*i
x3 = 3.0 - 9.240533093436878e-22*i y3 = 9.0 - 9.240533093436885e-22*i
x4 = 3.0 + 3.573169922826181e-36*i y4 = 9.0 + 3.573169922826181e-36*i
x5 = 3.0 - 1.879820797562412e-24*i y5 = 9.0 - 1.879820797562436e-24*i
x6 = 3.0 y6 = 9.0
x7 = 3.0 - 4.696970984265657e-39*i y7 = 9.0 - 4.696971334590273e-39*i
x8 = 3.0 - 1.069612002125233e-22*i y8 = 9.0 - 1.06961200212523e-22*i
x9 = 3.0 + 2.056663166428365e-22*i y9 = 9.0 + 2.056663166428367e-22*i
x10 = 3.0 + 2.048162986946458e-25*i y10 = 9.0 + 2.048162986946458e-25*i
x10 = 3.0 + 2.048162986946458e-25*i y10 = 9.0 + 2.048162986946458e-25*i