Advertisements
Advertisements
Question
Solve for x: `("log"121)/("log"11)` = logx
Advertisements
Solution
`("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
RELATED QUESTIONS
If a2 = log x, b3 = log y and 3a2 - 2b3 = 6 log z, express y in terms of x and z .
Given log10x = 2a and log10y = `b/2`. Write 102b + 1 in terms of y.
Given log10x = 2a and log10y = `b/2. "If" log_10^p = 3a - 2b`, express P in terms of x and y.
Evaluate : log38 ÷ log916
Evaluate : `( log _5^8 )/(( log_25 16 ) xx ( log_100 10))`
Solve for x: `("log"125)/("log"5)` = logx
If `"log" x^2 - "log"sqrt(y)` = 1, express y in terms of x. Hence find y when x = 2.
Express the following in a form free from logarithm:
m log x - n log y = 2 log 5
Express the following in a form free from logarithm:
`2"log" x + 1/2"log" y` = 1
If `"a" = "log""p"^2/"qr", "b" = "log""q"^2/"rp", "c" = "log""r"^2/"pq"`, find the value of a + b + c.
