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Solve for X: Log 27 Log 243 = X

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Question

Solve for x: `("log"27)/("log"243)` = x

Sum
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Solution

`("log"27)/("log"243)` = x

⇒ `("log"3^3)/("log"3^5)` = x

⇒ `(3"log"3)/(5"log"5)` = x

⇒ x = `(3)/(5)`.

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More About Logarithm
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Chapter 7: Logarithms - Exercise 10.2

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Frank Mathematics Part 1 [English] Class 9 ICSE
Chapter 7 Logarithms
Exercise 10.2 | Q 8.2
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