SOLUTION: Log 8 + Log 32 - Log 2 (All in base 4)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Log 8 + Log 32 - Log 2 (All in base 4)      Log On


   

Question 1202372: Log 8 + Log 32 - Log 2 (All in base 4)
Found 2 solutions by Edwin McCravy, greenestamps:
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
log%284%2C%288%29%29%2Blog%284%2C%2832%29%29-log%284%2C%282%29%29 

log%284%2C%282%5E3%29%29%2Blog%284%2C%282%5E5%29%29-log%284%2C%282%29%29

3log%284%2C%282%29%29%2B5log%284%2C%282%29%29-log%284%2C%282%29%29

7log%284%2C%282%29%29

Use formula log%28a%2C%28b%29%29=1%5E%22%22%2Flog%28b%2C%28a%29%29

7%2Flog%282%2C%284%29%29

7%2Flog%282%2C%282%5E2%29%29%29

7%2F%282log%282%2C%282%29%29%29

7%2F%282%2A1%29

7%2F2%29

Edwin

Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!




Since 4 and 128 are both integer powers of 2, rewrite the expression using the change-of-base formula.

log%284%2C128%29=log%282%2C128%29%2Flog%282%2C4%29=7%2F2

ANSWER: 7/2