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Writing in logarithmic and exponential form Video Lecture - Engineering Mathematics

FAQs on Writing in logarithmic and exponential form Video Lecture - Engineering Mathematics

1. What is the logarithmic form of the exponential equation 2^x = 8?
Ans. The logarithmic form of the equation 2^x = 8 is log2(8) = x.
2. How can logarithmic form be used to solve exponential equations?
Ans. Logarithmic form can be used to solve exponential equations by taking the logarithm of both sides of the equation, isolating the variable on one side, and then evaluating the logarithm using the appropriate base.
3. How can exponential form be used to solve logarithmic equations?
Ans. Exponential form can be used to solve logarithmic equations by converting the equation to exponential form, isolating the variable on one side, and then evaluating the exponential expression using the appropriate base.
4. What is the relationship between logarithmic and exponential functions?
Ans. Logarithmic and exponential functions are inverses of each other. This means that if y = loga(x), then x = a^y. They essentially "undo" each other's operations.
5. How can logarithmic and exponential functions be applied in engineering mathematics?
Ans. Logarithmic and exponential functions are commonly used in engineering mathematics to model various phenomena, such as exponential growth or decay, signal processing, and circuit analysis. They are also used in solving problems related to exponential growth, interest rates, and logarithmic scales in engineering applications.
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