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Solve for X : Log 128 Log 32 = X - Mathematics

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Question

Solve for x : ` ( log 128) / ( log 32 ) ` = x

Sum

Solution

 ` ( log 128 ) / ( log 32 ) ` = x

`=> x =( log 128 )/ ( log 32 )`

`=> x= (log 2xx 2xx 2xx 2xx 2xx 2xx 2)/ (log 2xx 2xx 2xx 2xx 2 ) `

`=> x = log 2^7 / log2^5`

`=> x = ( 7 log 2 )/ ( 5 log 2 ) `     ... [ n loga m = loga m ]

` => x = ( 7 ) / ( 5 )`

⇒ x = 1.4

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Laws of Logarithm
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Chapter 8: Logarithms - Exercise 8 (B) [Page 106]

APPEARS IN

Selina Concise Mathematics [English] Class 9 ICSE
Chapter 8 Logarithms
Exercise 8 (B) | Q 8.2 | Page 106
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