Advertisements
Advertisements
Question
Simplify the following:
`2"log" 7 + 3 "log" 5 - "log"(49)/(8)`
Advertisements
Solution
`2"log" 7 + 3 "log" 5 - "log"(49)/(8)`
= 2 log 7 + 3 log 5 - log 49 + log 8
= 2 log 7 + 3log 5 - log 72 + log 23
= 2 log 7 + 3log5 - 2log7 + 3log 2
= 3log5 + 3log2
= 3 (log5 + log2)
= 3 log(5 x 2)
= 3 log 10
= 3 x 1
= 3.
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: 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
Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`
Write the logarithmic equation for:
n = `sqrt(("M"."g")/("m".l)`
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 720
If log x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`
If log 27 = 1.431, find the value of the following: log300
If x2 + y2 = 7xy, prove that `"log"((x - y)/3) = (1)/(2)` (log x + log y)
