Advertisements
Advertisements
प्रश्न
Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`
उत्तर
`"log"(26)/(51) - "log"(91)/(119)`
= `"log"(2 xx 13)/(3 xx 17)-"log"(7 xx 13)/(7 xx 17)`
= `"log"(2 xx 13)/(3 xx 17)-"log"(13)/(17)`
= log13 + log2 - log3 - log17 - log13 + log17
= log2 - log3.
APPEARS IN
संबंधित प्रश्न
If 3( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log x, find x.
If x = (100)a , y = (10000)b and z = (10)c , find log`(10sqrty)/( x^2z^3)` in terms of a, b and c.
Given 2 log10 x + 1 = log10 250, find :
(i) x
(ii) log10 2x
Given `log_x 25 - log_x 5 = 2 - log_x (1/125)` ; find x.
Express the following in terms of log 2 and log 3: log 54
Express the following in terms of log 2 and log 3: `"log"root(5)(216)`
Simplify the following:
`2 "log" 5 +"log" 8 - (1)/(2) "log" 4`
If log x = p + q and log y = p - q, find the value of log `(10x)/y^2` in terms of p and q.
If log 4 = 0.6020, find the value of each of the following: log8
Simplify: log a2 + log a-1