SOLUTION: This equation is on a work sheet that I need to solve: log2 (5X+7) - log2 (X) = 2 (note : log2 is log base 2, I can't make subscripts) Please help!!

Question 70985: This equation is on a work sheet that I need to solve:
log2 (5X+7) - log2 (X) = 2
(note : log2 is log base 2, I can't make subscripts)
Please help!!
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Try this!
Apply the qoutient rule for logarithms:
, so now you have:
Rewrite this in exponential form:

Multiply both sides by x.
Subtract 5x from both sides.
Multiply both sides by -1.

Check:
Substitute x = -7.
Simplify.

Change the base from 2 to 10.
Evaluate using your calculator or log tables.

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