Advertisements
Advertisements
Question
Express the following in a form free from logarithm:
5 log m - 1 = 3 log n
Advertisements
Solution
5 log m - 1 = 3 log n
⇒ log m5 - log 10 = log n3
⇒ `"log"(("m"^5)/10)` = log n3
⇒ `(("m"^5)/10)` = n3
⇒ m5 = 10 n3.
APPEARS IN
RELATED QUESTIONS
If `3/2 log a + 2/3` log b - 1 = 0, find the value of a9.b4 .
If p = log 20 and q = log 25 , find the value of x , if 2log( x + 1 ) = 2p - q.
Solve for x, `log_x^(15√5) = 2 - log_x^(3√5)`.
Solve the following:
log(x2 + 36) - 2log x = 1
State, true of false:
logba =-logab
If log 3 m = x and log 3 n = y, write down
32x-3 in terms of m
If `"log" x^2 - "log"sqrt(y)` = 1, express y in terms of x. Hence find y when x = 2.
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:
3 log x - 2 log y = 2
Express the following in a form free from logarithm:
m log x - n log y = 2 log 5
