SOLUTION: Use the properties of logarithms to write the expression as a single logarithm. 4 logc 2x^3−1/5 logc(2x+5)

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Question 975916: Use the properties of logarithms to write the expression as a single logarithm.
4 logc 2x^3−1/5 logc(2x+5)
Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!


Use the rule  to change the coefficients
of the logs to exponents of what the logs are taken of:



Distribute the outer 4 exponent in the first term to the
two factors.  


[WARNING: do NOT try to distribute the 1/5 exponent in 
the second term the same way because what's inside the 
parentheses in the second term are ADDED, not
MULTIPLIED as they are on the first term.]



Write 24 as 16 in the first term and the fractional exponent  as 
a 5th root in the second term:



Use the rule 

 

Edwin
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