Solving An Exponential Log Equation | Math Olympiads

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[@Ghaith7702]

he should make a video proving why substitution is powerful and how/when to use it

[@monujhembrom1206]

Yeah definitely

[@BabisKoutroulis]

It is an interesting (and somehow easy) equation. Thanks!

[@SyberMath]

Np

[@fedorkochemasov4533]

I used natural log to take out the powers, divided both sides by ln10 and used a formula for transitioning to a new base and arrived at the same quadratic you had, Vieta's theorem to solved for logx and solve for x.

[@oenrn]

Seems to be adding unnecessary complication to use ln when the whole expression is already using base 10.

[@rakenzarnsworld2]

x = 10

[@mehrdadbasiri9968]

has a cool idea...👌👌👌.
Thanks...🙏🙏🙏.

[@SyberMath]

Thank you!

[@popitripodi573]

Nice and easy!!!❤❤❤i used the first method

[@SyberMath]

Great! ❤

[@scottleung9587]

Got 'em both!

[@broytingaravsol]

x=10, 1/10000

[@KennethChile]

Beautifil thinking and analysis on method #2. I did it applying log both sides, but now I feel more robotic after seeing method #2. Thanks!

[@mathswan1607]

log x= 1 or -4
x=10 or 1/10000

[@stephensu4371]

7:46 what was it again？ 10X did you say？

[@Ghaith7702]

10x yup it happens

[@MathOrient]

As always good🙂

[@SyberMath]

Thanks