Change of Base, Logarithm

[AnnieMatipa]

Much appreciated sir surely goodness and mercy shall follow you all the days of your life

[JohnSmith-hrfl]

You could have done it very simply. For Logarithms, you can raise the base of any logarithm to any power you like, as long as you raise its argument to the same power as well. So, you could have squared log2^x, to get log4^x^2, then you combine the logs to get log4^x^3, then put it in exponential form, so you have 4^6 = x^3, then of course take the cubic root, so 4096 cube rooted, to find that x = 16.

[dixonwalker]

Your channel is really helpful, keep up the good work, Mr sichamba

[UnclePythagoras]

Big up sir Jacob you have it in you I wish you all the best the world needs your light ❤

[BewTheAtom]

From 6:15 onwards, he changed from logarithmic form to index form.
Log2^x=b(logarithmic form) == x=2^b(index from)

[ZealousSaidy]

Thanks sir for your help, I appreciate the Lord for your knowledge you're sharing with us 🎉

[WanabrianSavale]

Thank you sir for the lessons they really help ❤❤

[funlearningmathswithmr.a]

Perfect, way to go. Thanks Mr. Jacob.

[deepreacher]

You don't have to punch a calculator to determine the final value of "x". It can still be simplified further to give same answer. Thanks

[WhyfordKhondowe]

, thank you very much, continue helping us

[Omddw]

Yeah, I agree with most if the comments. Could have simplified the logs earlier to make the equation easier to work with.
But well done.
I won't fight your approach since you maintained the accuracy of your soln

[samueladler]

Very impressive but log x base 4=½log x base 2
Log x ¹`². x base 2=6
By exponentiating we have x³'²=2^6
By inverting the exponent 3/2 and multiply both exponents by 2/3, we have
X=2⁴=16

[suleimanadamuumar]

Thanks you sir I hav (learned) a lot from your lesson

[Burningarrow]

I'm new to logs and I've solved this equation 3 different ways that were much simpler and easier. You might want to simplify your methods for your students as to not over complicate their lives unnecessarily

[benardnzuki-vs]

At the last step it can be solved without even the calculator, Mr tutor

[PanganiHaruniTimotheo]

Thank you for good work, but the final stage to the answer is easy to simplify and get the answer, so I advise not to use a calculator for solving without using the calculator is most preferable.

[jamesbamboo]

If you simplify the power of 2, the answer is 4.
log base 2 of 4 is 2 then 2x6=12 divided by 1+ log base 2 of 4=1+2=3.
Making the power equal to 12÷3=4!

[nandakumarcheiro]

Answer as x-16 can be brought out. Answer is correct.

[Abouhydar]

This method is not meant for beginners. There so many ways of solving in little steps.

[BettyNdesh]

I really do understand much appreciated