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Question
Express the following in terms of log 2 and log 3: `"log"root(5)(216)`
Solution
`"log"root(5)(216)`
= `"log"(216)^(1/5)`
= `(1)/(5)"log"216`
= `(1)/(5)"log"(2^3 xx 3^3)`
= `(1)/(5)"log"2^3 + (1)/(5)"log"3^3`
= `(3)/(5)"log"2 + (3)/(5)"log"3`.
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