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Solve the Following: Log (X + 1) + Log (X - 1) = Log 48 - Mathematics

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Question

Solve the following:
log (x + 1) + log (x - 1) = log 48

Sum

Solution

log (x + 1) + log (x - 1) = log 48
⇒ log {(x + 1)(x - 1)} = log 48
⇒ log (x2 - 1) = log 48
⇒ x2 - 1 = 48
⇒ x2 = 49
⇒  x = 7 ...(neglecting the negative value).

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More About Logarithm
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Chapter 10: Logarithms - Exercise 10.2

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Frank Mathematics [English] Class 9 ICSE
Chapter 10 Logarithms
Exercise 10.2 | Q 7.7
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