Log

Algebra Level 2

2 log ⁡ 3 = m 2\log 3 = m and 2 log ⁡ 5 = n 2\log 5 = n , find 2 log ⁡ 90 2\log 90 .

The logarithms are in base 10.

2 m + n + 2 2m + n + 2 2 m + 2 2m + 2 2 m + n 2m + n 2 m + n + 1 2m + n + 1

Vincent Nathanael by Vincent Nathanael , 20, Indonesia

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1 solution

Tanmoy Dutta
Nov 1, 2016

2 log 90=2(log(9x10)) =2(log(3^2)+log10) =2(2 log 3+log 10) =2(m+1) =2m+2

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