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Solve the Following: Log(X2 + 36) - 2log X = 1 - Mathematics

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Question

Solve the following:
log(x2 + 36) - 2log x = 1

Sum

Solution

log(x2 + 36) - 2log x = 1
⇒ log (x2 + 36) - log x2 = 1

⇒ `"log"((x^2 + 36)/x^2)` = 1
= log 10
⇒ `((x^2 + 36)/x^2)` = 10
⇒  x2 + 36 = 10x2
⇒  9x2 = 36
⇒  x2 = 4
⇒  x = 2.

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More About Logarithm
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Chapter 10: Logarithms - Exercise 10.2

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 10 Logarithms
Exercise 10.2 | Q 7.2
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