Mister Exam

Lang:

How to use it?
Equation:
Equation x=1+x/2
Equation |x|=5
Equation 5x+4=x+12
Equation x^2-11*x+10=0
Express {x} in terms of y where:
6*x+9*y=15
14*x+3*y=-4
18*x-15*y=-7
14*x-4*y=14
Identical expressions
log(three *x)+log(x)* three = two
logarithm of (3 multiply by x) plus logarithm of (x) multiply by 3 equally 2
logarithm of (three multiply by x) plus logarithm of (x) multiply by three equally two
log(3x)+log(x)3=2
log3x+logx3=2
Similar expressions
log(3*x)-log(x)*3=2

log(3x)+log(x)3=2 equation

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

You have entered [src]

log(3*x) + log(x)*3 = 2

3 \log{\left(x \right)} + \log{\left(3 x \right)} = 2

Simplify

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

      3/4  1/2
     3   *e   
x1 = ---------
         3

x_{1} = \frac{3^{\frac{3}{4}} e^{\frac{1}{2}}}{3}

x1 = 3^(3/4)*exp(1/2)/3

Sum and product of roots [src]

sum

 3/4  1/2
3   *e   
---------
    3

\frac{3^{\frac{3}{4}} e^{\frac{1}{2}}}{3}

 3/4  1/2
3   *e   
---------
    3

\frac{3^{\frac{3}{4}} e^{\frac{1}{2}}}{3}

product

 3/4  1/2
3   *e   
---------
    3

\frac{3^{\frac{3}{4}} e^{\frac{1}{2}}}{3}

 3/4  1/2
3   *e   
---------
    3

\frac{3^{\frac{3}{4}} e^{\frac{1}{2}}}{3}

3^(3/4)*exp(1/2)/3

Numerical answer [src]

x1 = 1.2527572571708

x1 = 1.2527572571708

log(3*x)+log(x)*3=2 equation