Advertisements
Advertisements
Question
Express the following as a single logarithm:
`(1)/(2)"log"25 - 2"log"3 + "log"36`
Sum
Advertisements
Solution
`(1)/(2)"log"25 - 2"log"3 + "log"36`
= `(1)/(2)"log"5^2 - 2"log"3 + "log"(2^2 xx 3^2)`
= `(1)/(2) xx 2"log"5 - 2"log"3 + "log"2^2 + "log3^2`
= log5 + 2log2
= log5 + log22
= log5 + log4
= log(5 x 4)
= log20.
shaalaa.com
Expansion of Expressions with the Help of Laws of Logarithm
Is there an error in this question or solution?
