Solving log equations with different bases can be tricky. In this video, one can learn how to change the base of one log so that it matches the base of the other log expression.
You can't just say that because the powers are the same, x = 16. For example, x²=2² has two solutions, x = ±2. In this case there are actually seven solutions, the other 6 being complex numbers. So x = 16e^(2kπi/7) ∀k∈ℤ∩[0,6].
Did not know this property of logs. Makes perfect sense, given some thought. Thank you!
It was awesome.
can you teach me on about integretion and limitations.
Hail from Brazil! Nice solution
Thanks teacher
Nice
Wow. I'm always learning new logarithm properties. I wonder how many logarithm properties exist in math. Is it infinite? 🤔
They are NOT infinite but we've quite a bunch of them. According to my experience logaithm properties are better studied by practising.
This is just a result of other laws i.e. logₐx=ln x/ln a=bln x/(bln a)=ln xᵇ/ln aᵇ=log_{aᵇ} (xᵇ).
This is such a save when you have a math test on log tomorrow 😭❤️🌟
Thank you so much!
Thank you soo much sir ❤️🙏🏻
That was impressive.
thank you sir 🙏
Genius guy
base=2, we have (1/4)log2(x)+(1/2)log2(x)+log2(x)=7,so log2(x)=4, x=2^4=16
I will teach this rule next year to my students. Thanks.
All the best~
Sir, please upload some videos on integration.
log16(x) + log4(x) + log2(x) = 7
log2⁴(x) + log2²(x) + log2(x) = 7
1/4 (log2(x)) + 1/2 (log2(x)) + log2(x) = 7
log2(x)¼ + log2(x)½ + log2(x) = 7
log2(x¼.x½.x) = 7
(x¼)⁷ = 2⁷
x¼ = 2
x = 2⁴
x = 16
Nice
How come
Sir can you solve math problems of jee mains and jee advanced
Am from Uganda en i love the way you calculate math problems. Am requesting u to use us differential equations thank u very much ❤❤❤❤❤❤❤❤❤❤0:00
You can't just say that because the powers are the same, x = 16. For example, x²=2² has two solutions, x = ±2. In this case there are actually seven solutions, the other 6 being complex numbers. So x = 16e^(2kπi/7) ∀k∈ℤ∩[0,6].
🤗
Our math teacher never taught us such details of logs
@@sajidrafique375
Yeah you are right although where are you from ?
@@user-km2fh5zi7p Santa Barbara city college , caifornia but i was a foreign student there from pakistan ..
How many people accidentally square or power to 4 the 7 on the other side.
Maybe at the end just 7logx = 7
he x should be 2 also if u just write power before log and put it on x head it be 2 powe 7 is x pow3er 7 so x is 7
Sure….it’s easy for a math genius…..
Very helpful.
If only you don't use writing in colours other than white and yellow. Both colours are perfect and visible
Ok next time