SOLUTION: Find the Value of the given expression. multiple choice. I know this is probly easy but cant get a understanding or find how to figure this out with my text.Thanks in Advance

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Find the Value of the given expression. multiple choice. I know this is probly easy but cant get a understanding or find how to figure this out with my text.Thanks in Advance       Log On


   



Question 7953: Find the Value of the given expression. multiple choice. I know this is probly easy but cant get a understanding or find how to figure this out with my text.Thanks in Advance

Q:log AB^2
A. 2 log A log B
B. 2 log A + log B
C. log A + log B + log 2
D. log A + 2 log B

Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
seeing as how you have no brackets, the squared term applies to just the B, so...

log%28AB%5E2%29

there are only about 3 or 4 RULES dealing with logs...learn them from your notes/textbook.

One of the rules says if you take the log of 2 things multiplied, then their logs are added, so:

log%28AB%5E2%29 --> logA+%2B+logB%5E2

Another rule says if you have log of a number raised to a power, then that power can be re-written at hte front of the term, so:

logA+%2B+logB%5E2 --> logA+%2B+2logB

So, answer is ...? :-)

jon.