Logarithm - Arithmetic Aptitude Questions and Answers

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If log 2 = 0.3010 and log 3 = 0.4771, the value of log₅ 512 is:

2.870

2.967

3.876

3.912

Answer : Option C

Explanation :

=\( \frac { log2^9 } {log(10/2) } \)

=\( \frac {9 log 2} {log10-log2 } \)

=\(\frac { (9*0.30100} { 1-0.3010 } \)

=\( \frac { 2.709 } { 0.699 }\)

=\( \frac { 2.709 } { 699 }\)

= 3.876

log₅ 512

=\( \frac { log512 } {log^5 } \)

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