Advertisements
Advertisements
Question
Express the following in a form free from logarithm:
`2"log" x + 1/2"log" y` = 1
Advertisements
Solution
`2"log" x + 1/2"log" y` = 1
⇒ `"log" x^2 + "log sqrt(y)` = log 10
⇒ `"log"(x^2sqrt(y))` = log 10
⇒ `x^2 sqrt(y)` = 10.
APPEARS IN
RELATED QUESTIONS
Find x, if : logx (5x - 6) = 2
Given log10x = 2a and log10y = `b/2`. Write 102b + 1 in terms of y.
Evaluate : `( log _5^8 )/(( log_25 16 ) xx ( log_100 10))`
Evaluate: `(log_5 8)/(log_25 16 xx Log_100 10)`
Solve the following:
log(x2 + 36) - 2log x = 1
Solve for x: `("log"1331)/("log"11)` = logx
State, true of false:
If `("log"49)/("log"7)` = log y, then y = 100.
If a = `"log" 3/5, "b" = "log" 5/4 and "c" = 2 "log" sqrt(3/4`, prove that 5a+b-c = 1
Express the following in a form free from logarithm:
m log x - n log y = 2 log 5
Prove that `("log"_"p" x)/("log"_"pq" x)` = 1 + logp q
