SOLUTION: Solve. (Check for undefined solutions at the end) log(x-5)= 1- log(x-2) Please & Thank You (:

Algebra ->  Trigonometry-basics -> SOLUTION: Solve. (Check for undefined solutions at the end) log(x-5)= 1- log(x-2) Please & Thank You (:      Log On


   

Question 808874: Solve. (Check for undefined solutions at the end)
log(x-5)= 1- log(x-2)

Please & Thank You (:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve. (Check for undefined solutions at the end)
log(x-5)= 1- log(x-2)
------------------------
Rearrange::
log(x-5) + log(x-2) = 1
------
log[(x-5)(x-2)] = 1
--------
log[x^2-7x+10] = 1
-----
x^2 -7x + 10 = 10
----
x^2-7x = 0
====
x(x-7) = 0
---
x = 0 or x = 7
-----
x= 0 is extraneous
----
Only solution:: x = 7
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Cheers,
Stan H.
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