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Given That Log 8 5 = 0 log856\log _ { 8 } \sqrt [ 6 ] { 5 }

question 85

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Given that log 8 5 = 0.7740 and log 8 11 = 1.1531, evaluate the expression log856\log _ { 8 } \sqrt [ 6 ] { 5 } 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 )


Definitions:

Hallucinations

Perceptions in the absence of external stimuli, such as seeing or hearing things that aren't there.

Delusions

False beliefs strongly held in spite of invalidating evidence, often as a symptom of mental illness.

Thought Disorder

A disturbance in the organization, processing, and expression of thoughts, often seen in psychiatric conditions.

Tardive Dyskinesia

A neurological disorder characterized by involuntary, repetitive body movements, often resulting from long-term use of certain psychiatric medications.

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