Thank you for the opportunity to help you with your question!
So your expression, , is read as "base 3 logarithm of 27" we should be thinking of it as "the exponent for 3 that results in So your problem is to figure out what power of 3 results in . If you know that and if you're really good with exponents you will already know the answer. If you don't know the answer yet, then try to express as a power of 3. Well, we can start by writing the 27 as a power of 3:
But what about the square root? Square roots are powers of 1/2. IOW, . So we can rewrite our square root as an exponent of 1/2:
The rule for exponents when raising a power to a power is to multiply the exponents:
We can now see what exponent on 3 results in ! An exponent of 3/2 on a 3 results in . So
Please let me know if you nea case for torture by michale levined any clarification. I'm always happy to answer your questions.
Jul 15th, 2015
Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.