Section 6.4
Quiz 7.4
Question: Simplify the following expression using the formula for the sum or difference of logarithms.
log2 (x2 – 9)6

 
    (log2 x) / (log2 3)
12 log2 x – 12 log2 3
(6 log2 x) / (log2 3)
12 log2 x
6 log2 (x + 3) + 6 log2 (x – 3)
 
  Variations: Simplify the following expression using the formula for the sum or difference of logarithms.
ln (x2 – 9x)3

 
    (6 ln x) / (2 ln 3 + ln x)
6 ln x – 6 ln 3
3 ln x + 3 ln (x – 9)
(2 ln x) / (2 ln 3 + ln x)
3 ln x – 6 ln 3
 
    Simplify the following expression using the formula for the sum or difference of logarithms.
log (x2 + 9x)6

 
    12 log x + 12 log 3
18 log x + 12 log 3
6 log x + 6 log (x + 9)
48 log (3x)
288 log (12x)