Новая Школа - онлайн-школа подготовки к ЕГЭ
Задача Задача №1149874
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Аноним
22 мая 2024 20:27 · публичный вопрос
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Аноним

2. 3 10д25 + 2 log 125

Ответ нейросети
22 мая 2024 20:27

It seems like you're trying to add two expressions involving logarithms. Let's simplify each expression first.

  1. Simplify \(3\log_{10}{25}\): \[3\log_{10}{25} = \log_{10}{25^3} = \log_{10}{15625}\]

  2. Simplify \(2\log{125}\): \[2\log{125} = \log{125^2} = \log{15625}\]

Now, let's add the simplified expressions: \[\log_{10}{15625} + \log{15625} = \log_{10}{15625} + \log_{10}{15625}\] \[= \log_{10}{(15625 \times 15625)} = \log_{10}{244140625}\]

So, the simplified expression is \(\log_{10}{244140625}\).