Solve for X: Log 289 Log 17 = Logx - Mathematics

Solve for x: `("log"289)/("log"17)` = logx

Sum

`("log"289)/("log"17)` = logx

⇒ `("log"17^2)/("log"17)` = logx

⇒ `(2"log"17)/("log"17)` = logx
⇒ 2 = logx
⇒ 2log10 = logx ...(since log10 = 1)
⇒ log10² = logx
∴ x = 10²
= 100.

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More About Logarithm

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Chapter 10: Logarithms - Exercise 10.2

Chapter 10 Logarithms
Exercise 10.2 | Q 8.8

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