log (200 x 30) = .3010 + 2+.4111
ILLUSTRATION 9. Given log 2 = 0.3010, and log 5 = 0.6990 find the log of the
2000
quotient
50
Answers
Here is your answer mate!!
Given,
log(2)=0.3010
log(5)=0.6990
log (2000) = >
we know that,
2000= 2^4 x 5^3
∴log (2000) ⇒ log ( 2^4 x 5^3)
⇒ log (2^4) + log (5^3) . we know that . [ log(a^b) = b log (a) ] and [ log ( x*y) = log (x) + log (y) ]
⇒ [4 log (2)] + [3 log (5)]
⇒ [4 x 0.3010 ] + [3 x 0.6990]
⇒ [1.204] + [ 2.097 ]
⇒ 3.301
Hope my solution helps you!! PLEASE MAKE SURE TO FOLLOW MW BACK Name =RAJ Class = 9th