Question

how do we find the fifth root of .0076 using log. Pls explain in full steps!!!!!!!!!

Answer 1

Ok let y=0.0076^(1/5)
take log on both sides
log y=log(0.0076^(1/5))
now log (a^b)=b log a
so log y=log(0.0076)/5
find log 0.0076 from log table
then divide by 5.
then take anti log on both sides to get y

Answer 2

dude the book i was goin through gave a value of 1/5(3.8808){3 has a bar over it!!!!} which suddenly became equal to 1/5(5 + 2.8808){5 has a bar here}!!!!!!! How did dis happen

Answer 3

since log 0.0076 is negative we cant directly take anti log so i'll take a random negative number and find anti log
suppose we have -1.2
then add 2 and subtract 2 so
-1.2 + 2 -2
-2 +0.8
find anti log (0.8)
and then multiply by 10 ^-2

Answer 4

ditch the bar and all

Answer 5

bar = a - sign but one cannot substitute the bar for '-' sign
so bar(-) 3.8808 = bar (-)5 +2.8808

Answer 6

(-) 3 +0.8808 = (-) 5 +2 +0.8808