If (21.4)a=(0.00214)b=100,then the value of 1a−1b is
0
1
2
4
(21.4)a=100⇒ alog(21.4)=2∴ log(21.4)=2/a---i
From (0.00214)b=100, weget
b(log0.00214)=2or blog21.4×10−4=2or b=2log21.4−4=22a−4=11a−2=a1−2a⇒1b=1−2aa⇒1a−1b=2