Given That Log 2 5 = 2 $\log _ { 2 } \sqrt [ 3 ] { 5 }$

question 189

Short Answer

Given that log 2 5 = 2.3219 and log 2 7 = 2.8074, evaluate the expression $\log _ { 2 } \sqrt [ 3 ] { 5 }$ by using properties: For positive real numbers b , r and s , where b $\neq$ 1, and for any real number p , $\log b r s = \log b r + \log b s$ $\log b \frac { r } { s } = \log b r - \log b s$ $\log b r ^ { p } = p ( \log b r )$ Please give the answer to four decimal places.

---

Definitions:

Psychohistory

A discipline that combines psychological analysis with historical events and figures to understand the past.

Erikson

Erik Erikson, a psychologist known for his theory on psychosocial development across eight stages of human life.

Basic Strengths

Fundamental virtues or capabilities that an individual can develop through successfully navigating stages of psychological development.

Malignancies

Cancerous growths or tumors characterized by uncontrolled cell division that can invade surrounding tissues and spread to other parts of the body.