Advertisements
Advertisements
प्रश्न
Express the following as a single logarithm:
`2 + 1/2 "log" 9 - 2 "log" 5`
Advertisements
उत्तर
`2 + 1/2 "log" 9 - 2 "log" 5`
= `2 + 1/2 "log" 3^2 - 2 "log" 5`
= `2 "log" 10 + 1/2 xx 2 "log" 3 - 2 "log" 5`
= log 102 + log 3 - log 52
= log 100 + log 3 - log 25
= `"log" (100 xx 3)/(25)`
= log 12.
APPEARS IN
संबंधित प्रश्न
Express the following in terms of log 5 and/or log 2: log80
Write the logarithmic equation for:
F = `"G"("m"_1"m"_2)/"d"^2`
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 2.25
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: `"log"2(1)/(4)`
If 2 log x + 1 = 40, find: x
If log1025 = x and log1027 = y; evaluate without using logarithmic tables, in terms of x and y: log103
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log45
If log 27 = 1.431, find the value of the following: log300
Find the value of:
`("log"sqrt(8))/(8)`
Find the value of:
`("log"sqrt(27) + "log"8 + "log"sqrt(1000))/("log"120)`
