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
If log10 8 = 0.90; find the value of : log 0.125
Express the following in terms of log 5 and/or log 2: log80
Express the following in terms of log 5 and/or log 2: log125
Express the following in terms of log 5 and/or log 2: log500
Write the logarithmic equation for:
E = `(1)/(2)"m v"^2`
Express the following as a single logarithm:
log 144 - log 72 + log 150 - log 50
Simplify the following:
`2"log" 7 + 3 "log" 5 - "log"(49)/(8)`
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 720
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 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`
