SOLUTION: Express as a sum, difference, or multiple of logarithms. log(subscript 2)(square root of x / a^2)

Question 198679: Express as a sum, difference, or multiple of logarithms.
log(subscript 2)(square root of x / a^2)
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression.

Break up the log using the identity

Convert to exponential notation

Pull down the exponents using the identity

So
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

The general rule is;

Another general rule is

answer
check answer:
Say and

and

OK
Note that is impossible. There is no
log to a positive base that will result in a negative
number.
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