Advertisements
Advertisements
प्रश्न
Express the following in terms of log 2 and log 3: `"log" root(3)(144)`
उत्तर
`"log" root(3)(144)`
= `"log"(144)^(1/3)`
= `(1)/(3)"log144`
= `(1)/(3)"log"(2^4 xx 3^2)`
= `(1)/(3)"log"2^4 + (1)/(3)"log"3^2`
= `(4)/(3)"log"2 + (2)/(3)"log"3`.
APPEARS IN
संबंधित प्रश्न
Prove that:
log10 125 = 3(1 - log102).
Express the following in terms of log 2 and log 3: log 648
Express the following in terms of log 5 and/or log 2: log160
Express the following as a single logarithm:
`2"log"(9)/(5) - 3"log"(3)/(5) + "log"(16)/(20)`
Express the following as a single logarithm:
`2"log" (16)/(25) - 3 "log" (8)/(5) + "log" 90`
If 2 log y - log x - 3 = 0, express x in terms of y.
If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log1.2
If log 4 = 0.6020, find the value of each of the following: log8
If x2 + y2 = 7xy, prove that `"log"((x - y)/3) = (1)/(2)` (log x + log y)
Simplify: log b ÷ log b2
