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 x7 as a sum, difference and/or constant multiple of logarithms.

The third law because x7 is an exponential expressions,
and the third law applies to such expressions.
Which of the above three laws is applicable to this problem?
Show work. Apply the third law of logarithms to log 3 x7.

 

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