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Find the value of x?
How to solve √7^√24-8x = 49^x
In this video, we'll show you How to Solve Math Olympiad Question A Nice Exponential Equation √7^√24-8x = 49^x in a clear , fast and easy way. Whether you are a student learning basics or a professtional looking to improve your skills, this video is for you. By the end of this video, you'll have a solid understanding of how to solve math olympiad exponential equations and be able to apply these skills to a variety of problems.
#matholympiad #mathtricks #maths

[@habeebalbarghothy6320]

Very very nice

[@SALogics]

Thanks and welcome! ❤

[@Lemda_gtr]

Why second one is incorrect though it comes out of correct equation answering

[@SALogics]

In radical equations there may be some extraneous solutions that does'nt satisfy the original euation, the reason is squaring for example if a = 3 and b = -3 in this case a² = b² but a ≠ b ❤

[@KipIngram]

sqrt(7)^sqrt(24-8x) = 49^x
ln[sqrt(7)^sqrt(24-8x)] = ln[49^x]
sqrt(24-8x)*ln(sqrt(7)) = x*ln(49)
(24-8x)*(ln(sqrt(7))^2 = x^2*(ln(49))^2
[ln(49)^2]*x^2 + [8*ln(sqrt(7))^2]*x - [24*ln(sqrt(7))^2] = 0
So this is just a quadratic equation.

[@habeebalbarghothy6320]

First view : x = 1

[@SALogics]

Great! ❤

[@Mb-logic]

Amazing 😍.

[@SALogics]

Thanks for liking ❤