Mister Exam

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How to use it?
2x+5y=11; 3x--2y=-12
4x^2-4ху+у^2=9; 3х^2+2ху-y^2=36
log2(x)-1/2log2(1/y)=4; XY=2
x+y+z=7; x+y+u=11; x+z+u=15; y+z+u=3
Identical expressions
log two (x)- one /2log2(one /y)= four ; XY=2
logarithm of 2(x) minus 1 divide by 2 logarithm of 2(1 divide by y) equally 4; XY equally 2
logarithm of two (x) minus one divide by 2 logarithm of 2(one divide by y) equally four ; XY equally 2
log2x-1/2log21/y=4; XY=2
log2(x)-1 divide by 2log2(1 divide by y)=4; XY=2
Similar expressions
log2(x)+1/2log2(1/y)=4; XY=2

log2(x)-1/2log2(1/y)=4; XY=2

You have entered [src]

         /   /1\\    
         |log|-||    
         |   \y/|    
         |------|    
log(x)   \log(2)/    
------ - -------- = 4
log(2)      2

$$\frac{\log{\left(x \right)}}{\log{\left(2 \right)}} - \frac{\frac{1}{\log{\left(2 \right)}} \log{\left(\frac{1}{y} \right)}}{2} = 4$$

x*y = 2

$$x y = 2$$

x*y = 2

Rapid solution

$$x_{1} = 128$$
=
$$128$$
=

$$y_{1} = \frac{1}{64}$$
=
$$\frac{1}{64}$$
=

0.0156250000000000

Numerical answer [src]

x1 = 128.0 + 2.061493889522893e-17*i
y1 = 0.015625 - 3.558890930119702e-21*i

x2 = 127.9999999914081 - 9.096418832203556e-9*i
y2 = 0.01562500000112988 + 1.396593636396039e-12*i

x2 = 127.9999999914081 - 9.096418832203556e-9*i
y2 = 0.01562500000112988 + 1.396593636396039e-12*i