Advertisements
Advertisements
प्रश्न
Express the following in terms of log 2 and log 3: log 54
Advertisements
उत्तर
log 54
= log (2 x 3 x 3 x 3)
= log (2 x 33)
= log 2 + log 33
= log 2 + 3 log 3.
APPEARS IN
संबंधित प्रश्न
If log5 x = y, find 52y+ 3 in terms of x.
If 2 log y - log x - 3 = 0, express x in terms of y.
Given: log3 m = x and log3 n = y.
Write down `3^(1 - 2y + 3x)` in terms of m and n.
Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`
Express the following as a single logarithm:
`2"log"(9)/(5) - 3"log"(3)/(5) + "log"(16)/(20)`
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 12
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log18
If x2 + y2 = 7xy, prove that `"log"((x - y)/3) = (1)/(2)` (log x + log y)
Find the value of:
`("log"sqrt125 - "log"sqrt(27) - "log"sqrt(8))/("log"6 - "log"5)`
