SOLUTION: I've tried and tried and can't solve 2 log x-2 = log(x-25) I'm confused to what the appropriate steps are.

Question 137134This question is from textbook
: I've tried and tried and can't solve 2 log x-2 = log(x-25) I'm confused to what the appropriate steps are. This question is from textbook

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Solve for x:
First apply the "power rule" for logarithms to the left side:
Now apply the property: If , then
Expand the left side.
Subtract x from both sides.
Add 25 to both sides.
Solve using the quadratic formula:
Simplify.

or
OOPS!!! I misread the problem! It should be:
Apply the power rule to the left side:
Add 2 to both sides.
Subtract from both sides.
Apply the quotient rule to the left side:
Rewrite this in exponential form: ---> The base is 10 for commom logarithms:
Multiply both sides by (x-25)
Simplify.
Subtract 100x from both sides and add 2500 to both sides.
Factor.
Apply the zero products rule.
and and so...

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