easy Math f4 log

2013-12-01 6:05 am
given that log9=x express log30 in terms of x
更新1:

given that log3=x and log75=y ,express log 5 in terms of x and y

回答 (2)

2013-12-01 7:46 am
✔ 最佳答案
1. log 9 = x
log 30 = log (3*10)
= log 3 + log 10
= log 9^(1/2) + 1
= 0.5 log 9 +1
= x / 2 +1

2. log 3 = x ; log 75 = y

log 5 = log (75/15)
log 5 = log 75 - log 15
log 5 = log 75 - log (3*5)
log 5 = log 75 - log 3 - log 5
2log 5 = log 75 - log 3
log 5 = (log 75 - log 3) /2
= ( y - x ) / 2
2013-12-01 6:14 am
log9 = x
log3² = x
2log3=x
log3 = (x/2)

log30 = log3+log10
=log3+1
log30 = (x/2)+1


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