SOLUTION: If log 7.54 = 0.8774 then log 75400 is : a) 3.8774 b) 4.8774 c) -4.8774 d) -3.8774

Algebra ->  Trigonometry-basics -> SOLUTION: If log 7.54 = 0.8774 then log 75400 is : a) 3.8774 b) 4.8774 c) -4.8774 d) -3.8774      Log On


   

Question 827618: If log 7.54 = 0.8774 then log 75400 is :
a) 3.8774
b) 4.8774
c) -4.8774
d) -3.8774
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
log(7.54) = 0.8774
log(75400) =
log(7.54 * 10000) =
log(7.54) + log(10000)
Since 10^4 = 10000
log(7.54) + 4
Since log(7.54) = 0.8774
0.8774 + 4
4.8774
log(75400) = 4.8774
and 10^(4.8774) = 75400