Germany | Can you solve this? | Math Olympiad

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  • Опубликовано: 31 янв 2025

Комментарии • 7

  • @samuelkelly2197
    @samuelkelly2197 Месяц назад

    You can never go wrong with Master T Maths Class. I think Master T needs to have a book titled Step by Step Solution to solving Problems in Logarithms and Indices. A have a similar book I hope to share with Master T when I get his contact details. Master T is a CLASS ACT. BRAVO Sir !!! You are so good and what I admire most about your lecture is most is when we are checking whether our answer in right. Any good tutorials. Times spent listening to You is time well spent Sir !!!

  • @RyanLewis-Johnson-wq6xs
    @RyanLewis-Johnson-wq6xs Месяц назад +1

    8^(Log[8,1.230769 recurring ]+2)+8^Log[8,1.230769 recurring ]=80 Input interpretation
    8^(log(8, 1.(230769)^_ (repeating decimal)) + 2) + 8^log(8, 1.(230769)^_ (repeating decimal)) = 80 x=(4-Log[2,13])/3=Log[8,16/13]
    Result
    True

  • @andresrebolledobanquet1924
    @andresrebolledobanquet1924 Месяц назад

    8x + 16 + 8x = 80
    16x = 80 - 16
    16x = 64
    x = log 64 /log 16
    x = 1.5
    16^1.5 = 64

  • @ЛюдмилаИщенко
    @ЛюдмилаИщенко 29 дней назад

    Записан ответ и обведён в рамку.... А где же 2 из знаменателя под логарифмом?

  • @AlexanderSemashkevich
    @AlexanderSemashkevich Месяц назад

    8^x(8²+1)=80
    8^x=16/13
    x=(log16-log13)/log8=(4log2-log13)/3log2=4/3-log13/3log2
    Find log13:
    log12=2log2+log3
    log14=log2+log7
    log13≈(log12+log14)/2≈(3log2+log3+log7)/2
    So x≈4/3-(3log2+log3+log7)/6log2≈4/3-½-(log3+log7)/6log2≈⅚-(log3+log7)/6log2
    x≈⅚-(0.477+0.845)/(6×0.301)≈⅚-661/903≈(5×903-6×661)/(6×903)≈183/1806≈0.1
    8^(0.1+2)+8^0.1≈80.02