Germany | Can you solve this? | Math Olympiad

[@vivaldoborges7153]

OR x= log5(50/13) it´s more simple; how do you do?.

[@AlexanderSemashkevich]

5^x×(5×⅕)=20 5^x×(26/5)=20 5^x=20×5/26 5^x=50/13 x=(2log5+log2-log13)/log5=2+(log2-log13)/log5 Find log13 as (log12+log14)/2 log12=2log2+log3 log12≈2×0.301+0.477≈1.079 log14=log2+log7 log14≈0.301+0.845≈1.146 log12≈(1.079+1.146)/2≈1.113 x≈2+(0.301-1.113)/0.699≈586/699≈0.838 Deviation is about 0.001 5^(0.838+1)+5^(0.838-1)≈20.03

[@MasterTMathsClass]

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