SOLUTION: log base 3 (10x^2-x-2)=2+2*log base 3X solve for x I tried to change the 2*log base 3x into log base 3x^2. Then I think i should try and get the 2 left on the right side of the

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Question 504499: log base 3 (10x^2-x-2)=2+2*log base 3X
solve for x
I tried to change the 2*log base 3x into log base 3x^2.
Then I think i should try and get the 2 left on the right side of the equation to be a log base 3 to allow the log base 3 to cancel completely out.
but I am not sure how to change 2 to a log base 3 if that is the correct step. Any help would be great. Thank you.
Answer by stanbon(57228) About Me  (Show Source):
You can put this solution on YOUR website!
log base 3 (10x^2-x-2)=2+2*log base3(X)
solve for x
----------------------
log3(10x^2-x-2) - 2log3(x) = 2
---
log3(10x^2-x-2) - log3(x^2) = 2
---
log3[(10x^2-x-2/x^2] = 2
----
(10x^2-x-2/x^2) = 9
---
10x^2-x-2 = 9x^2
---
x^2-x-2 = 0
Factor:
(x-2)(x+1) = 0
Positive solution:
x = 2
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Cheers,
Stan H.
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