A Nice Math Olympaid Exponential Problem

A Nice Math Olympaid Exponential Problem #math #algebra

[@meerzaarsm]

what is this!? ultimately you are using a calculator!?

[@yodaami]

I got that in half a minute using log 45/log3. Why do you have to go through all those other steps?

[@MathsExplorer24]

This is a step by step explanation to reach out simple solution......

[@goedelite]

Very good refresher for people who never learned algebra properly.

[@pjaj43]

If you must do it that way then 45 = 3^2*5 divide both sides by 3^2 Then 3^(a-2) = 5 (a-2)log3 = log5 a=2+log5/log3

[@recepgundogan4272]

3^a=45 log(3^a)=log45 a.log3=log45 a=log45/log3 Log45=1.653 log3=0.477 a=1.653/0.477 a=3.465

[@KUS-2024]

or: 3^a=9×5 a×log(3)=log(9)+log(5) a=2×log(3)/log(3) + log(5)/log(3) a=2+log(5)/log(3)

[@ChrisBreemer]

Oh dear. Why bother to go through all the math (such as there is) and then suddenly go and use the actual values of log 5 and log 3 ? May as well get your calculator our right away....

[@ЛюбовьТареева-ю4ы]

6а=90 а= 90÷6=15

[@sie_khoentjoeng4886]

a = log 45 / log 3 = (log3) 45

[@yodaami]

Yes. Why all the long winded stuff.

[@pjaj43]

Yes, but where are you going to get a table of logs base 3?

[@yodaami]

@@pjaj43 calculators do it all for you now. You can put any base in. Gone are the days of only have log base 10 and natural log tables! Oh but I did love them.

[@pjaj43]

@@yodaami I've never seen a calculator that does this. It's certainly not all of them.

[@yodaami]

@@pjaj43 myscript calculator on the ipad you hand write log3 45. The three must be a little subscript. I’ve been using it for so long I didn’t realise normal calculators don’t do it 😂 However you can convert a log base 10, by using log base 10 of the number divided by log base 10 of the base you want. Eg log 100 = 2. But log base 2 of 100 = log 100/ log 2 . = 2/ 0.301..= 6.64…. Lovely neat trick. Log rules; love them!

[@fredsalter1915]

Logarithms rule!!!!!!

[@sushmaagarwal6804]

.a,s cost is 15 ❤❤❤❤❤

[@heveraldopositivo4747]

Very good !

[@jhasmenchibuxchyan6344]

3×15=45 45+45=90,а==45

[@negvorsa]

💩💨😷

[@Mb-logic]

Good

[@ИринаРзаева-ф2с]

Равно, а один и будет выстреш от Трампа.

[@alibarka6490]

❤❤❤❤❤

[@istekharansari1064]

very very nice videos sir🎉🎉🎉🎉🎉

[@muallimahkusmayadi544]

Kurang simpel penjelasan nya

[@rymven]

Сами данные в примере подобраны не удачно!

[@MathsExplorer24]

How.....?

[@СергейЛевицкий-п3д]

Правильный ответ 3^а=45 а = 3,46497352