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log5(7x+3)=log5(2x-5) equation

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Numerical solution:

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The solution

You have entered [src]
log(7*x + 3)   log(2*x - 5)
------------ = ------------
   log(5)         log(5)   
$$\frac{\log{\left(7 x + 3 \right)}}{\log{\left(5 \right)}} = \frac{\log{\left(2 x - 5 \right)}}{\log{\left(5 \right)}}$$
The graph
Sum and product of roots [src]
sum
-8/5
$$- \frac{8}{5}$$
=
-8/5
$$- \frac{8}{5}$$
product
-8/5
$$- \frac{8}{5}$$
=
-8/5
$$- \frac{8}{5}$$
-8/5
Rapid solution [src]
x1 = -8/5
$$x_{1} = - \frac{8}{5}$$
x1 = -8/5
Numerical answer [src]
x1 = -1.6
x1 = -1.6