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log3X+4log9X=9 equation

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Numerical solution:

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The solution

You have entered [src]
log(3*x) + 4*log(9*x) = 9
$$\log{\left(3 x \right)} + 4 \log{\left(9 x \right)} = 9$$
The graph
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