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Write the Logarithmic Equation For: N = √ M . G M . L - Mathematics

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प्रश्न

Write the logarithmic equation for: 

n = `sqrt(("M"."g")/("m".l)`

योग

उत्तर

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
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Logarithms - Exercise 10.2

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 10 Logarithms
Exercise 10.2 | Q 4.3
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