Advertisements
Advertisements
Question
Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`
Solution
`"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
RELATED QUESTIONS
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
If log 2 = 0.3010 and log 3 = 0.4771 ; find the value of : log 1.2
If log 27 = 1.431, find the value of : log 300
Given: log3 m = x and log3 n = y.
If 2 log3 A = 5x - 3y; find A in terms of m and n.
Simplify : log (a)3 ÷ log a
If 2 log x + 1 = 40, find: x
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`
If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60
If log 4 = 0.6020, find the value of each of the following: log2.5
