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You entered:

log3(x2–3x–5)=log3(7–2x)

What you mean?

log3(x2–3x–5)=log3(7–2x) equation

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Numerical solution:

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The solution

You have entered [src]
log(x2 - 3*x - 5)   log(7 - 2*x)
----------------- = ------------
      log(3)           log(3)   
$$\frac{\log{\left(- 3 x + x_{2} - 5 \right)}}{\log{\left(3 \right)}} = \frac{\log{\left(7 - 2 x \right)}}{\log{\left(3 \right)}}$$
The graph
Rapid solution [src]
x1 = -12 + x2
$$x_{1} = x_{2} - 12$$
Sum and product of roots [src]
sum
0 + -12 + x2
$$\left(x_{2} - 12\right) + 0$$
=
-12 + x2
$$x_{2} - 12$$
product
1*(-12 + x2)
$$1 \left(x_{2} - 12\right)$$
=
-12 + x2
$$x_{2} - 12$$
-12 + x2