Advertisements
Advertisements
प्रश्न
Solve for x: `("log"121)/("log"11)` = logx
Advertisements
उत्तर
`("log"121)/("log"11)` = logx
⇒ `("log"11^2)/("lo"11)` = logx
⇒ `(2"log"11)/("log"11)` = logx
= 2 = logx
⇒ 2log 10 = logx ...(since log 10 = 1)
⇒ log 102 = logx
∴ x = 102
= 100.
APPEARS IN
संबंधित प्रश्न
If a2 + b2 = 23ab, show that:
log `(a + b)/5 = 1/2`(log a + log b).
Evaluate: logb a × logc b × loga c.
Solve for x: `("log"289)/("log"17)` = logx
State, true of false:
logba =-logab
If `"log" x^2 - "log"sqrt(y)` = 1, express y in terms of x. Hence find y when x = 2.
If 2 log x + 1 = log 360, find: x
If a = `"log" 3/5, "b" = "log" 5/4 and "c" = 2 "log" sqrt(3/4`, prove that 5a+b-c = 1
Prove that log (1 + 2 + 3) = log 1 + log 2 + log 3. Is it true for any three numbers x, y, z?
Prove that: `(1)/("log"_2 30) + (1)/("log"_3 30) + (1)/("log"_5 30)` = 1
If a = log 20 b = log 25 and 2 log (p - 4) = 2a - b, find the value of 'p'.
