Math Problem Statement

Evaluate log7(7)

Solution

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to\ which the[ base\ log7_b\(b)) must = be raised1 to result in, \(7 \.

quadBy the definition \ oftext logarithms{: [ for\log any_b(b) = base 1 }, \ btext >{ for any0 base \ }text b{ > and } b0, \ bneq \ neq1 . \1]

. \Here]

,Therefore the: base is$$7,log and_ the7( argument7) is = also 1 . 7.]

Thus###:

Final Answer: [ \\loglog__77((77)) = = 11

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Math Problem Analysis

Mathematical Concepts

Logarithms
Exponents

Formulas

log_b(b) = 1, where b > 0 and b ≠ 1

Theorems

Definition of logarithms

Suitable Grade Level

Grades 8-10