Which one of the two is greater ?
${log}_{7} 11 o r {log}_{8} 5$

{log}_{7} 11

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{log}_{8} 5

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Both are equal

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Cannot be dertermined

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Solution

The correct option is A ${log}_{7} 11$
Since $11 > 7$
Taking log with base 7 , we get
${log}_{7} 11 > 1$

Again, since $1 < 5 < 8$
Taking log with base 8, we get
$0 < {log}_{8} 5 < 1$

Hence, ${log}_{7} 11 > {log}_{8} 5.$

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Which one of the two is greater ?log711orlog85

The correct option is A log711Since 11>7Taking log with base 7 , we getlog711>1Again, since 1<5<8Taking log with base 8, we get0<log85<1Hence, log711>log85.

Which one of the two is greater ?
${log}_{7} 11 o r {log}_{8} 5$

The correct option is A ${log}_{7} 11$
Since $11 > 7$
Taking log with base 7 , we get
${log}_{7} 11 > 1$

Again, since $1 < 5 < 8$
Taking log with base 8, we get
$0 < {log}_{8} 5 < 1$

Hence, ${log}_{7} 11 > {log}_{8} 5.$