SOLUTION: Condense each logarithm. (express as a single log)pick a right chose log 12 + 4log 2 - log 3 a.log 32 b. log 64 c. log 2 d. log 3

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Question 78842: Condense each logarithm. (express as a single log)pick a right chose
log 12 + 4log 2 - log 3

a.log 32
b. log 64
c. log 2
d. log 3



Answer by Edwin McCravy(20059)   (Show Source): You can put this solution on YOUR website!

Condense each logarithm. (express
as a single log) 

log 12 + 4 log 2 - log 3 

a. log 32 
b. log 64 
c. log 2 
d. log 3 

log 12 + 4 log 2 - log 3

In the second term, the coefficient 4 
moves up and becomes an exponent of 
the 2

log 12 + log 24 - log 3

Write the 24 as 16:

log 12 + log 16 - log 3

When you take log out of a sum (addition),
the sum (addition) becomes a product 
(multiplication).  So take log out of the
first two terms and change the + to × :

     log(12×16) - log 3

Replace the 12×16 by 192 

        log 192 - log 3

When you take "log" out of a difference
(subtraction), the difference (subtraction)
becomes a quotient (division).  So take the 
"log" out of those two terms and change
the - to ÷ :

        log (192÷3)

Replace 192÷3 by 64

        log 64

Choice (b)

Edwin
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