Advertisements
Advertisements
प्रश्न
Simplify the following:
`2"log" 7 + 3 "log" 5 - "log"(49)/(8)`
Advertisements
उत्तर
`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
संबंधित प्रश्न
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 12
Write the logarithmic equation for:
F = `"G"("m"_1"m"_2)/"d"^2`
Express the following as a single logarithm:
`(1)/(2)"log"25 - 2"log"3 + "log"36`
Simplify the following:
`12"log" (3)/(2) + 7 "log" (125)/(27) - 5 "log" (25)/(36) - 7 "log" 25 + "log" (16)/(3)`
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log540
If log 4 = 0.6020, find the value of each of the following: log2.5
If log 8 = 0.90, find the value of each of the following: log4
If log 8 = 0.90, find the value of each of the following: `"log"sqrt(32)`
If log 27 = 1.431, find the value of the following: log 9
