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log5(3x+2)=log5(8-2x) equation

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Numerical solution:

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The solution

You have entered [src]
log(3*x + 2)   log(8 - 2*x)
------------ = ------------
   log(5)         log(5)   
$$\frac{\log{\left(3 x + 2 \right)}}{\log{\left(5 \right)}} = \frac{\log{\left(8 - 2 x \right)}}{\log{\left(5 \right)}}$$
The graph
Sum and product of roots [src]
sum
6/5
$$\frac{6}{5}$$
=
6/5
$$\frac{6}{5}$$
product
6/5
$$\frac{6}{5}$$
=
6/5
$$\frac{6}{5}$$
6/5
Rapid solution [src]
x1 = 6/5
$$x_{1} = \frac{6}{5}$$
x1 = 6/5
Numerical answer [src]
x1 = 1.2
x1 = 1.2