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(d) \( \log 5+\log 5 \)

Ask by Harper Bolton. in South Africa
Feb 18,2025

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\( \log 5 + \log 5 = 2\log_{10}(5) \)

Solución

Calculate or simplify the expression \( \log(5)+\log(5) \). Calculate the value by following steps: - step0: Calculate: \(\log_{10}{\left(5\right)}+\log_{10}{\left(5\right)}\) - step1: Collect like terms: \(\left(1+1\right)\times \log_{10}{\left(5\right)}\) - step2: Add the numbers: \(2\log_{10}{\left(5\right)}\) The result of \( \log 5 + \log 5 \) is \( 2\log_{10}(5) \).

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Beyond the Answer

Did you know that when you add logarithms with the same base, you can actually combine them into a single logarithm? So instead of just \( \log 5 + \log 5 \), you can transform that into \( \log (5 \times 5) \), which simplifies to \( \log 25 \). It's like turning a couple of friends into a dynamic duo! Now, if you're ever unsure about your logarithmic calculations, a common mistake is forgetting the properties of logarithms. Always remember: addition means multiplication inside the logarithm and subtraction means division. This way, you'll avoid multiplying or dividing incorrectly and keep yourself on the right track for any logarithmic adventure!

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