log3X+4log9X=9 equation

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

You have entered [src]

log(3*x) + 4*log(9*x) = 9

$$\log{\left(3 x \right)} + 4 \log{\left(9 x \right)} = 9$$

Simplify

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Sum and product of roots [src]

sum

5 ___  9/5
\/ 3 *e   
----------
    9

$$\frac{\sqrt[5]{3} e^{\frac{9}{5}}}{9}$$

5 ___  9/5
\/ 3 *e   
----------
    9

$$\frac{\sqrt[5]{3} e^{\frac{9}{5}}}{9}$$

product

5 ___  9/5
\/ 3 *e   
----------
    9

$$\frac{\sqrt[5]{3} e^{\frac{9}{5}}}{9}$$

5 ___  9/5
\/ 3 *e   
----------
    9

$$\frac{\sqrt[5]{3} e^{\frac{9}{5}}}{9}$$

3^(1/5)*exp(9/5)/9

Rapid solution [src]

     5 ___  9/5
     \/ 3 *e   
x1 = ----------
         9

$$x_{1} = \frac{\sqrt[5]{3} e^{\frac{9}{5}}}{9}$$

x1 = 3^(1/5)*exp(9/5)/9

Numerical answer [src]

x1 = 0.837359224465086

x1 = 0.837359224465086