Laws of Logarithms

Laws of Logarithms:
1. log
a(u v) = loga(u) + loga(v) {The log of a product equals the sum of the logs.}
2. log
a(u/v) = loga(u) - loga(v) {The log of a quotient equals the difference of the logs.}
3. log
a(ur ) = r loga (u)

Write log3 7x as a sum, difference and/or constant multiple of logarithm.

The first law because 7x is a product,
and the first law applies to logs of products.
Which of the above three laws is applicable to this problem?
Show work. Apply the first law of logarithms to log 3 7x .

 

Return to the Exercise List