Given That Log X= Mn And Log Y= Mn The Value Of Log 10x/y^2? - EduRev

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Most Upvoted AnswerGiven that log x= m n and log y= m-n the value of log 10x/y^2?Introduction: In this problem, we are given two equations involving logarithms of two variables x and y. We are required to find the value of another logarithmic expression in terms of x and y. Solution:We can start by simplifying the given equations: log x = m n => x = e^(m n) [exponentiating both sides with base e]log y = m - n => y = e^(m - n)Now, we need to find the value of log (10x/y^2). Let's first simplify this expression: log (10x/y^2) = log 10 + log x - 2 log y [using logarithmic identities]= 1 + log x - 2(log y) [log 10 = 1]= 1 + log (e^(m n)) - 2(log(e^(m - n))) [substituting the values of x and y]= 1 + mn - 2(m - n) = 3n - mn + 1Therefore, the value of log (10x/y^2) is 3n - mn + 1. Conclusion: In this problem, we used the given equations to simplify the expression log (10x/y^2) in terms of m and n. The final answer is 3n - mn + 1.Answered by Freedom Institute · View profileCommunity AnswerGiven that log x= m n and log y= m-n the value of log 10x/y^2?Share your Answer
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View all Question Description Given that log x= m n and log y= m-n the value of log 10x/y^2? for CA Foundation 2026 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Given that log x= m n and log y= m-n the value of log 10x/y^2? covers all topics & solutions for CA Foundation 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Given that log x= m n and log y= m-n the value of log 10x/y^2?.Solutions for Given that log x= m n and log y= m-n the value of log 10x/y^2? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.Here you can find the meaning of Given that log x= m n and log y= m-n the value of log 10x/y^2? defined & explained in the simplest way possible. Besides giving the explanation of Given that log x= m n and log y= m-n the value of log 10x/y^2?, a detailed solution for Given that log x= m n and log y= m-n the value of log 10x/y^2? has been provided alongside types of Given that log x= m n and log y= m-n the value of log 10x/y^2? theory, EduRev gives you an ample number of questions to practice Given that log x= m n and log y= m-n the value of log 10x/y^2? tests, examples and also practice CA Foundation tests.
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