SOLUTION: Did i do this right? I have to expand it from a condensed form question: log base 2(8)(sqrt y) my answer: log base 2 (8) + log base 2 (sqrt y)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Did i do this right? I have to expand it from a condensed form question: log base 2(8)(sqrt y) my answer: log base 2 (8) + log base 2 (sqrt y)      Log On


   

Question 593378: Did i do this right? I have to expand it from a condensed form
question: log base 2(8)(sqrt y)
my answer: log base 2 (8) + log base 2 (sqrt y)
Found 2 solutions by solver91311, Edwin McCravy:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Almost there. Recall that can be represented as , and that , so:



John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism

Answer by Edwin McCravy(20086) About Me  (Show Source):
You can put this solution on YOUR website!
What you did was the correct FIRST STEP 
but you haven't finished:

log%282%2C%288sqrt%28y%29%29%29
 
log%282%2C%288%29%29 + log%282%2C%28sqrt%28y%29%29%29

Write 8 as 2³ and sqrt%28y%29 as matrix%282%2C1%2C%22%22%2Cy%5E%281%2F2%29%29


log%282%2C%282%5E3%29%29 + log%282%2C%28matrix%282%2C1%2C%22%22%2Cy%5E%281%2F2%29%29%29%29

Now use this rule of logs on both terms: log%28B%2C%28A%5EC%29%29 = C%2Alog%28B%2C%28A%29%29  

3log%282%2C%282%29%29 + expr%281%2F2%29log%282%2C%28y%29%29

On the first term use the rule:  log%28B%2C%28B%29%29=1

3%281%29 + expr%281%2F2%29log%282%2C%28y%29%29

3 + 1%2F2log2(y)

Edwin