SOLUTION: USING THE LOG PROPERTIES WRITE THE FOLLOWING AS A SINGLE LOG. EXPRESS ANY EXPONENTS AS EXPONENTS RATHER THAN FACTORS
LOG(X^5/X-5) + LOG(3(X-5)/X)-3LOGx
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Question 108943: USING THE LOG PROPERTIES WRITE THE FOLLOWING AS A SINGLE LOG. EXPRESS ANY EXPONENTS AS EXPONENTS RATHER THAN FACTORS
LOG(X^5/X-5) + LOG(3(X-5)/X)-3LOGx
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
USING THE LOG PROPERTIES WRITE THE FOLLOWING AS A SINGLE LOG. EXPRESS ANY EXPONENTS AS EXPONENTS RATHER THAN FACTORS
LOG(X^5/X-5) + LOG(3(X-5)/X)-3LOGx
:
+ -
:
Adding logs means multiply, and express as an exponent
-
:
Note that we can so some serious canceling inside the 1st radical, leaving us with:
-
:
Subtracting logs means divide:
=
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