Mister Exam

Lang:

How to use it?
Equation:
Equation e^x=0
Equation x^2=10
Equation cos(x)=3
Equation x^2-3x-4=0
Express {x} in terms of y where:
2*x+2*y=-6
7*x+20*y=-17
12*x+14*y=-15
-11*x+10*y=-9
Identical expressions
four ^(four *x- one)/ four ^(three *x- one)= one
4 to the power of (4 multiply by x minus 1) divide by 4 to the power of (3 multiply by x minus 1) equally 1
four to the power of (four multiply by x minus one) divide by four to the power of (three multiply by x minus one) equally one
4(4*x-1)/4(3*x-1)=1
44*x-1/43*x-1=1
4^(4x-1)/4^(3x-1)=1
4(4x-1)/4(3x-1)=1
44x-1/43x-1=1
4^4x-1/4^3x-1=1
4^(4*x-1) divide by 4^(3*x-1)=1
Similar expressions
4^(4*x+1)/4^(3*x-1)=1
4^(4*x-1)/4^(3*x+1)=1

4^(4x-1)/4^(3x-1)=1 equation

The teacher will be very surprised to see your correct solution 😉

You have entered [src]

 4*x - 1    
4           
-------- = 1
 3*x - 1    
4

$$\frac{4^{4 x - 1}}{4^{3 x - 1}} = 1$$

Simplify

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

x1 = 0

$$x_{1} = 0$$

      pi*I 
x2 = ------
     log(2)

$$x_{2} = \frac{i \pi}{\log{\left(2 \right)}}$$

x2 = i*pi/log(2)

Sum and product of roots [src]

sum

 pi*I 
------
log(2)

$$\frac{i \pi}{\log{\left(2 \right)}}$$

 pi*I 
------
log(2)

$$\frac{i \pi}{\log{\left(2 \right)}}$$

product

   pi*I 
0*------
  log(2)

$$0 \frac{i \pi}{\log{\left(2 \right)}}$$

$$0$$

Numerical answer [src]

x1 = 0

x2 = 4.53236014182719*i

x2 = 4.53236014182719*i

4^(4*x-1)/4^(3*x-1)=1 equation