Advertisements
Advertisements
Question
Express the following in a form free from logarithm:
2 log x + 3 log y = log a
Solution
Consider the given equation
2 log x + 3 log y = log a
⇒ logx2 + logy3 = log a
⇒ log x2y3 = log a
⇒ x2y3 = a
APPEARS IN
RELATED QUESTIONS
Express the following in a form free from logarithm:
2 log x - log y = 1
Find x, if : x - log 48 + 3 log 2 = `1/3`log 125 - log 3.
Solve for x : log10 (x - 10) = 1
If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 25
If log102 = a and log103 = b ; express each of the following in terms of 'a' and 'b' : log 5.4
Solve for x : ` (log 64)/(log 8)` = log x
If log102 = a and log103 = b; express each of the following in terms of 'a' and 'b' : log 60
State, true or false :
`log x/log y` = log x - log y
Given that log x = m + n and log y = m - n, express the value of log ` ( 10x ) / ( y ^ 2 )` in terms of m and n.
If log10 8 = 0.90; find the value of : log10 4