SOLUTION: Given: log5=a, log3=b,log2=c. Find: log_8(30) .

Algebra ->  Trigonometry-basics -> SOLUTION: Given: log5=a, log3=b,log2=c. Find: log_8(30) .      Log On


   



Question 1148107: Given: log5=a, log3=b,log2=c. Find: log_8(30) .
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


30+=+5%2A3%2A2

so

log%2830%29+=+log%285%29%2Blog%283%29%2Blog%282%29

Then

log%288%2C30%29+=+log%2830%29%2Flog%288%29

8+=+2%5E3

so

log%288%29+=+3%2Alog%282%29

So