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Question
Express the following in terms of log 2 and log 3: `"log" root(3)(144)`
Solution
`"log" root(3)(144)`
= `"log"(144)^(1/3)`
= `(1)/(3)"log144`
= `(1)/(3)"log"(2^4 xx 3^2)`
= `(1)/(3)"log"2^4 + (1)/(3)"log"3^2`
= `(4)/(3)"log"2 + (2)/(3)"log"3`.
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