Solve log equations problem

Ticksy
11 ●1 ●1 ●3

Input

var('x')
solve((log((x**2 - x), 6) - log((6*x - 10), 6) == 0), x)

Output

[log(x^2 - x) == log(6*x - 10)]

But real roots are 5 and 2. What I doing wrong?

2 Answers

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achrzesz
2803 ●5 ●25 ●61

kcrisman
12252 ●42 ●136 ●255

I have no problems with 5:

sage: solve((log((x**2 - x), 6) - log((6*x - 10), 6) == 0), x,to_poly_solve=True)             

[x == 2, x == 5]

achrzesz
2803 ●5 ●25 ●61

solve((log((x*2 - x), 6) - log((6x - 10), 6) == 0), x,to_poly_solve=True)

Thank you. It works. But what with root 5? He seemed to be a solution of the original equation ...

Ticksy ( 2012-03-09 13:21:37 +0100 )edit

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Asked: 2012-03-09 12:36:53 +0100

Seen: 1,230 times

Last updated: Mar 09 '12