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Given That Log 2 5 = 2 log253\log _ { 2 } \sqrt [ 3 ] { 5 }

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Given that log 2 5 = 2.3219 and log 2 7 = 2.8074, evaluate the expression log253\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 , 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 ) Please give the answer to four decimal places.


Definitions:

Divest

The act of a company selling off assets, subsidiaries, or divisions to refocus its core business or improve financial health.

Cash Flow

The total amount of money being transferred into and out of a business, reflecting the organization's operational, investing, and financing activities.

Market Share

The percentage of an industry's sales that a particular company controls within a specific time period.

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