Advertisements
Advertisements
प्रश्न
Find the value of:
`("log"sqrt(8))/(8)`
Advertisements
उत्तर
`("log"sqrt(8))/(8)`
= `("log"2sqrt(2))/(8)`
= `(1)/(8)("log"2 + "log"sqrt(2))`
= `(1)/(8)("log"2 + "log"2^(1/2))`
= `(1)/(8)"log"2 + (1)/(8)"log"2^(1/2)`
= `(1)/(8)"log"2 + (1)/(2)(1)/(8)"log"2`
= `(1)/(8)"log"2 + (1)/(16)"log"2`
= `(2)/(16)"log"2 + (1)/(16)"log"2`
= `(3)/(16)"log"2`.
APPEARS IN
संबंधित प्रश्न
If x = (100)a , y = (10000)b and z = (10)c , find log`(10sqrty)/( x^2z^3)` in terms of a, b and c.
If log5 x = y, find 52y+ 3 in terms of x.
Given: log3 m = x and log3 n = y.
Express 32x - 3 in terms of m.
Express the following in terms of log 2 and log 3: log 144
Express the following in terms of log 2 and log 3: log 216
Write the logarithmic equation for:
F = `"G"("m"_1"m"_2)/"d"^2`
Write the logarithmic equation for:
V = `(1)/("D"l) sqrt("T"/(pi"r")`
If log 16 = a, log 9 = b and log 5 = c, evaluate the following in terms of a, b, c: log 75
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`
If log 8 = 0.90, find the value of each of the following: log4
