Advertisements
Advertisements
Question
If log5 x = y, find 52y+ 3 in terms of x.
Advertisements
Solution
log5 x = y ...[ given ]
⇒ 5y = x
⇒ (5y)2 = x2
⇒ 52y = x2
⇒ 52y x 53 = x2 x 53
⇒ 52y + 3 = 125x2
APPEARS IN
RELATED QUESTIONS
If 3( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log x, find x.
Given: log3 m = x and log3 n = y.
Write down `3^(1 - 2y + 3x)` in terms of m and n.
Express the following in terms of log 2 and log 3: log 36
Express the following in terms of log 5 and/or log 2: log80
Express the following as a single logarithm:
log 18 + log 25 - log 30
Express the following as a single logarithm:
`2 "log" 3 - (1)/(2) "log" 16 + "log" 12`
If log x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log540
If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`
If log 4 = 0.6020, find the value of each of the following: log2.5
