Usa - Olympiad Exponential Equation : Find k !!👇👇 | Math Olympiad

Usa - Olympiad Exponential Equation : Find k !!👇👇 | Math Olympiad
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Explore the interesting world of exponential equations with varying bases and unlock the power of exponentiation! In this educational video, we delve into the concept of exponential equations where the base is not a constant value. Learn the fundamentals, discover the properties, and master solving equations with different bases, all explained clearly and concisely. Join us on this exponential journey and level up your mathematical prowess!

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[nikvandeneede]

2 x 5^k = 100
5^k = 50
5^(k-1) = 10
(K-1) log5 = log 10 = 1
K = 1 + 1/log5

[doctrui]

5^k + 5^k = 100
2*5^k = 100
5^k = 50
5^k = 2*5^2
5^(k-2) = 2
k - 2 = log5(2)
k = log5(2) + 2
Thank you

[silverhammer]

2(5^k) = 100
5^k = 50
k (log5) = log50
k = log50/log5 = 2.4307

[АндрейПергаев-зн]

А почему сразу не логарифмировать по базе 5?

[maciejroszak]

Seriously, this is from Olympiad? I hope that is Olympiad for primary school students