For more examples of how to solve exponential equations from basics to hard, please see kzitem.info/news/bejne/rG55t5aJfWuonKg
@Magst3r1
3 ай бұрын
That is about 3.5965 if anyone was wondering
@Rohitshawarma45
3 ай бұрын
Log 49/15 (56) is crazy bro
@ant2902
3 ай бұрын
16
@jamescollier3
3 ай бұрын
no 3.6 ish
@realaarjav
3 ай бұрын
This question can also done by taking log both sides, then applying log(m)^n = nlogm. After this seperating all x on one side and constant on other side. The problem is the constant is a bit weird and complex to handle so take it as "c" or something. Then find the value of x in terms of c and substitute the value of c later on. The value of c is actually (log7/log2) with base 10.
since 5625 is 75^2, you can further simplify into = log 3/5 (75^2) = 2 * log 3/5 (75)
@DARKi701
3 ай бұрын
Now It's time to show that the two solutions are actuallt the same
@okicek3016
3 ай бұрын
So the first solition is (3log(2)+log(7))/(2log(7)-4log(2)) which can be simplified into log(56)/log(49/16). Since both of the logs have the same base we can use the base change formula to get log_49/16(56)
@padaii
3 ай бұрын
Idk why it bothered me so much that you didn't use the natural log hahahaha. It's been a while for me, but would a natural log answer be easier (or maybe more straightforward) to differentiate/integrate?
@alejandromargulis2053
3 ай бұрын
It's always a pleasure to learn thank to you.
@bayonn.7145
3 ай бұрын
I have a question. So, the first equation could have this resolution? 1/2 . Log(7/4) 56 By the way, the solution to the second equation is Log(3/5)5625 (but can be 2 . Log(3/5)75).
@robert8552
3 ай бұрын
X.ln (49/16)= ln(56) X= ln(56)/ln(49/16) Why do you want to change the base?
@paulwood3460
2 ай бұрын
Luvley jubbley 👍👍👏👏
@OlympiadMentor
3 ай бұрын
Amazing ❤
@ant2902
3 ай бұрын
i'm not too good at exponents. maybe x = log5(5625) ?
@Otter-jh2zg
3 ай бұрын
great video
@dev3560
3 ай бұрын
Answer for the last equation is log_3/5(625/9) or approx -8.301
@Davis-tl1rc
3 ай бұрын
the 625/9 is actually a 625*9
@Ahmad-yi6d
3 ай бұрын
❤❤❤
@Twi_543
3 ай бұрын
interesting how I watched the originally vid this morning
Пікірлер: 26