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Question
Write the logarithmic equation for:
n = `sqrt(("M"."g")/("m".l)`
Sum
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Solution
n = `sqrt(("M"."g")/("m".l)`
⇒ n = `(("M"."g")/("m".l))^(1/2)`
Considering log on both sides,
log n = `"log"(("M"."g")/("m".l))^(1/2)`
= `(1)/(2)"log"(("M"."g")/("m".l))`
= `(1)/(2)["log"("M.g") - "log"("m".l)]`
= `(1)/(2)("log""M" + "log" "g" - "log""m" - "log"l)`.
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Expansion of Expressions with the Help of Laws of Logarithm
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