SOLUTION: {{{log(x+5)-log(x+2)=log5}}}

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Question 132628:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation



Combine the logs using the identity



Raise both sides as exponents with bases of 10. This will undo the logs


Simplify


Multiply both sides by


Distribute


Subtract 5 from both sides


Subtract 5x from both sides


Combine like terms on the left side


Combine like terms on the right side


Divide both sides by -4 to isolate x



Reduce

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Answer:
So our answer is (which is approximately in decimal form)

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