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Given That Log 8 5 = 0 log8117\log _ { 8 } \sqrt [ 7 ] { 11 }

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Given that log 8 5 = 0.7740 and log 8 11 = 1.1531, evaluate the expression log8117\log _ { 8 } \sqrt [ 7 ] { 11 } 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 \left( \log _ { b } r \right) Please give the answer to four decimal places.


Definitions:

Pledges Receivable

Commitments made by donors to give a specific amount of money to an organization over a set period, recognized as receivables in accounting.

Donation Revenue

Income received by a non-profit organization through voluntary financial contributions from individuals, corporations, or other entities.

Provision for Uncollectible Pledges

Provision for Uncollectible Pledges is a reserve or expense recognized by nonprofits or businesses for pledges or receivables that are likely not to be collected.

Bad Debt Expense

Bad Debt Expense represents a charge to account for invoices that are not expected to be collected due to customers' inability to fulfill payment obligations.

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