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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
