Advertisements
Advertisements
Question
Express the following as a single logarithm:
`2 + 1/2 "log" 9 - 2 "log" 5`
Solution
`2 + 1/2 "log" 9 - 2 "log" 5`
= `2 + 1/2 "log" 3^2 - 2 "log" 5`
= `2 "log" 10 + 1/2 xx 2 "log" 3 - 2 "log" 5`
= log 102 + log 3 - log 52
= log 100 + log 3 - log 25
= `"log" (100 xx 3)/(25)`
= log 12.
APPEARS IN
RELATED QUESTIONS
If 3( log 5 - log 3 ) - ( log 5 - 2 log 6 ) = 2 - log x, find x.
If log10 a = b, find 103b - 2 in terms of a.
Simplify : log (a)3 - log a
Simplify : log (a)3 ÷ log a
Express the following in terms of log 5 and/or log 2: log20
Express the following in terms of log 5 and/or log 2: log160
Express the following in terms of log 2 and log 3: `"log" root(3)(144)`
Express the following in terms of log 2 and log 3: `"log"root(5)(216)`
If 2 log x + 1 = 40, find: log 5x
If log 8 = 0.90, find the value of each of the following: log4
