MathDB
Tricky Logarithms

Source: 2020 AMC 12B #13

February 6, 2020
AMC 12 BAMCAMC 12logarithms2020 AMC 12B2020 AMC

Problem Statement

Which of the following is the value of log⁡26+log⁡36?\sqrt{\log_2{6}+\log_3{6}}?
<spanclass=′latex−bold′>(A)</span>1<spanclass=′latex−bold′>(B)</span>log⁡56<spanclass=′latex−bold′>(C)</span>2<spanclass=′latex−bold′>(D)</span>log⁡23+log⁡32<spanclass=′latex−bold′>(E)</span>log⁡26+log⁡36<span class='latex-bold'>(A) </span> 1 \qquad<span class='latex-bold'>(B) </span> \sqrt{\log_5{6}} \qquad<span class='latex-bold'>(C) </span> 2 \qquad<span class='latex-bold'>(D) </span> \sqrt{\log_2{3}}+\sqrt{\log_3{2}} \qquad<span class='latex-bold'>(E) </span> \sqrt{\log_2{6}}+\sqrt{\log_3{6}}
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