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Dear Sir! I have no idea in maths, but it doesn’t trouble me to see and admire your love, your deep understanding of logics of the science you choose. Greetings from Russia.
Take log on both sides we get x=log 24 to base 4
Good work my fellow Mathematician ❤❤❤❤ keep up
Bravo
Hello! Congratulations on the work! What camera support do you use?
2²ˣ = 2³32²ˣ⁻³ = 32x - 3 = log₂3x = (3 + log₂3)/2
2xlog2=3log2+log3x=1.5+log3/2log2
4^x = 2^(2x) = 24 = 3(2^3)2^(2x - 3) = 3(2x - 3) = (log3)/(log2)2x = 3 + (log3)/(log2)x = 3/2 + (log3)/(2log2)
Whywe can juste apply Ln at the beginning?
Make the task more difficult. For example, the number 23 instead of 24.
x=log24/log4=log(2³×3)/log2²=(3log2+log3)/2log2≈(3×0.301+0.477)/(2×0.301)≈1.38/0.602≈2.2924.Deviation is about 0.0001.
Логарифмируем по основанию 4 и сразу получаем ответ
Germany, Math Olympiad: 4ˣ = 24; x =?4ˣ = 24 = 4(6), 4ˣ⁻¹ = 6 = 2(3), x - 1 = log₄6 = log₄2 + log₄3 = (log₂2 + log₂3)/2x = 1 + log₄6 = (log₂2 + log₂3)/2 = 1 + 1/2 + 0.793 = 2.293Answer check:x = 2.293: 4ˣ = 4²·²⁹³ = 24; ConfirmedThe calculation was achieved on a smartphone with a standard calculator appFinal answer:x = 1 + log₄6 = 2.293
Não e maia dacil,achar a raiz proxima de 24, e aplicar as fórmulas de resolução.???
X=2.2134
Х=2.25
I brute forced it in my calculator and got 2.2924812505. it's the value of the x when calculated 😆
Dear Sir! I have no idea in maths, but it doesn’t trouble me to see and admire your love, your deep understanding of logics of the science you choose. Greetings from Russia.
Take log on both sides we get x=log 24 to base 4
Good work my fellow Mathematician ❤❤❤❤ keep up
Bravo
Hello! Congratulations on the work! What camera support do you use?
2²ˣ = 2³3
2²ˣ⁻³ = 3
2x - 3 = log₂3
x = (3 + log₂3)/2
2xlog2=3log2+log3
x=1.5+log3/2log2
4^x = 2^(2x) = 24 = 3(2^3)
2^(2x - 3) = 3
(2x - 3) = (log3)/(log2)
2x = 3 + (log3)/(log2)
x = 3/2 + (log3)/(2log2)
Whywe can juste apply Ln at the beginning?
Make the task more difficult. For example, the number 23 instead of 24.
x=log24/log4=log(2³×3)/log2²=(3log2+log3)/2log2≈(3×0.301+0.477)/(2×0.301)≈1.38/0.602≈2.2924.
Deviation is about 0.0001.
Логарифмируем по основанию 4 и сразу получаем ответ
Germany, Math Olympiad: 4ˣ = 24; x =?
4ˣ = 24 = 4(6), 4ˣ⁻¹ = 6 = 2(3), x - 1 = log₄6 = log₄2 + log₄3 = (log₂2 + log₂3)/2
x = 1 + log₄6 = (log₂2 + log₂3)/2 = 1 + 1/2 + 0.793 = 2.293
Answer check:
x = 2.293: 4ˣ = 4²·²⁹³ = 24; Confirmed
The calculation was achieved on a smartphone with a standard calculator app
Final answer:
x = 1 + log₄6 = 2.293
Não e maia dacil,achar a raiz proxima de 24, e aplicar as fórmulas de resolução.???
X=2.2134
Х=2.25
I brute forced it in my calculator and got 2.2924812505. it's the value of the x when calculated 😆