A Nice Math Olympiad Exponential Equation| Solve for x.

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[@jossamkamchanda9290]

Super intelligent!

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Oh! Thanks a lot 🎉

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Hello amazing friends and welcome back 🎉🎉❤❤

[@tomquail6959]

Practice makes perfect. The simplification to y is tricky. I would need to practice this through more examples. The clue is to know the laws of indices, exponents and logarithms and when and how to use them. Thank-you for this example which was/is challenging.

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@@tomquail6959 Amazing and thank you for engaging. We promise to expose more Tips 🙏🏆🏆🏆🏆

[@titustarhemba4678]

Your explanation is always very clear, thanks and remained blessed.

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@@titustarhemba4678 Amen and God bless you too 🙏

[@MercyCosmas-z3b]

Great teacher, keep it up

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@@MercyCosmas-z3b Thanks alot 🙏

[@wes9627]

My take. Divide the given equation by 10^x: (4/10)^x-7+10(25/10)^x=(2/5)^x-7+10/(2/5)^x=0. Substitute y=(2/5)^x: y-7+10/y=0. Multiply by y: y^2-7y+10=0. Solve for y: y=(7±3)/2=5 or 2. Solve for x: x=ln2/ln(2/5) or x=ln5/ln(2/5)

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@@wes9627 Amazing contributions. Thank you

[@onlinemathsexpo]

For further studies on #matholympiad exponential equations, kindly click the link kzbin.info/aero/PLVcWSTbc_4a2v3prPWnDhJSi--js_DBbw&si=IdxDGSSOIAKAKJyx