Advertisements
Advertisements
Question
Solve for x: `("log"27)/("log"243)` = x
Solution
`("log"27)/("log"243)` = x
⇒ `("log"3^3)/("log"3^5)` = x
⇒ `(3"log"3)/(5"log"5)` = x
⇒ x = `(3)/(5)`.
APPEARS IN
RELATED QUESTIONS
If x = 1 + log 2 - log 5, y = 2 log3 and z = log a - log 5; find the value of a if x + y = 2z.
Show that : loga m ÷ logab m + 1 + log ab
If p = log 20 and q = log 25 , find the value of x , if 2log( x + 1 ) = 2p - q.
If log x = a and log y = b, write down
10a-1 in terms of x
If log x = a and log y = b, write down
102b in terms of y
Express the following in a form free from logarithm:
3 log x - 2 log y = 2
Prove that log (1 + 2 + 3) = log 1 + log 2 + log 3. Is it true for any three numbers x, y, z?
Prove that `("log"_"p" x)/("log"_"pq" x)` = 1 + logp q
Prove that: `(1)/("log"_2 30) + (1)/("log"_3 30) + (1)/("log"_5 30)` = 1
If `"a" = "log""p"^2/"qr", "b" = "log""q"^2/"rp", "c" = "log""r"^2/"pq"`, find the value of a + b + c.