Learning Logarithms

Algebra Level 3

361 log ⁡ 19 97 × 441 log ⁡ 21 60 = ? \large { 361 }^{ \log _{ 19 }{ 97 } }\times { 441 }^{ \log _{ 21 }{ 60 } }=\ ? \


The answer is 33872400.

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Ananya Srishti by Ananya Srishti , 20, India

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1 solution

Ananya Srishti
Dec 30, 2015

361 log ⁡ 19 97 × 441 log ⁡ 21 60 = 19 2 log ⁡ 19 97 × 21 2 log ⁡ 21 60 = 97 2 × 60 2 = 33872400 \\ { 361 }^{ \log _{ 19 }{ 97 } }\times { 441 }^{ \log _{ 21 }{ 60 } }\\ ={ 19 }^{ 2\log _{ 19 }{ 97 } }\times { 21 }^{ 2\log _{ 21 }{ 60 } }\\ ={ 97 }^{ 2 }\times { 60 }^{ 2 }\\ =33872400

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Short and Simple !!

Akshat Sharda - 5 years, 5 months ago

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