Question
If log\(_{b}\)(b) is equal to y, what is the value of y?
Ask by Deleon Mcdonald. in Turkey
Nov 21,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
y = 1
Solution
log\(_{b}\)(b) ifadesi, b tabanında b'nin logaritmasını temsil eder. Bu durumda, logaritmanın tanımına göre:
log\(_{b}\)(b) = 1
Dolayısıyla, y'nin değeri 1'dir.
Sonuç olarak, y = 1.
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Simplify this solution Extra Insights
In this case, log\(_{b}\)(b) can be interpreted through the definition of a logarithm. It asks the question: "To what power must we raise b to get b?" The answer is straightforward – b raised to the power of 1 equals b. Therefore, y equals 1. This relation holds true for any positive base b (except when b equals 1). It's a fundamental concept in logarithmic functions that simplifies our calculations and helps in understanding more complex equations involving logarithms in advanced mathematics!
