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Given That Log 8 5 = 0 log8(1215)\log _ { 8 } \left( \frac { 121 } { 5 } \right)

Question 33

Multiple Choice

Given that log 8 5 = 0.7740 and log 8 11 = 1.1531, evaluate the expression log8(1215) \log _ { 8 } \left( \frac { 121 } { 5 } \right) by using properties: For positive real numbers b , r and s , where b \neq 1, and for any real number p , logbrs=logbr+logbs\log b r s = \log b r + \log b s logbrs=logbrlogbs\log b \frac { r } { s } = \log b r - \log b s logbrp=p(logbr) \log b r ^ { p } = p ( \log b r )


A) 1.6556
B) 1.5322
C) 1.5243
D) 3.0802
E) 1.5843

Correct Answer:

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