Equations involving Indices

[@TomTom-yw4pm]

Answer for (C) is 5∛5 in its simplest form.
5x=125x¯¹/²
x=25x¯¹/²
x ÷x¯¹/²=25
x¹+¹/²=25
x³/²=25; squaring both sides
x³=625 ; taking cubic root
x= (5*5*5*5)¹/³
x= 5∛5

[@JuniorMawa-q9f]

Clear explanation may good lord may bless you

[@richardkapalu2711]

Do clear calculations on question b when cross multiplying ❤ 3:11

[@IsholaKaotharolabisi]

Yes

[@IsholaKaotharolabisi]

It's not clear

[@Frplocker]

Thanks for helping me to solve my question sir

[@kelvingarba8369]

Thank you so much this video is very helpful

[@NamukuloMulomboi]

Great work sir, help on this question.if A+B+ C=180°, show that, sin2A+sin2B+sin2C=2sin(A+B) cos(A-B)+2sinC cosC.

[@adgf1x]

2^(4x+2)=2^(6x-3)=>6x-3=4x+2=>x=5/2ans

[@berthankhata1093]

Sir please explain more on this one

[@brandonfox9618]

For a), I took a more complicated approach that involved using logarithms and I also ended up getting x = 5/2 (or x = 2.5).

[@AkoulAguer-yr2bb]

Thanks again so much for your help

[@BensonNgulube-iy5wi]

Sir continue

[@Emmanuelkisa-q5o]

Hw did u even cross multiply those things

[@lorrainemasuku1025]

also ddnt understand the cross multiplication especially question b😢😢

[@Herb144]

Same

[@chimmzy297]

Same

[@richardkapalu2711]

Am also wondering because cross multiply is failing

[@NaomiMbusiro-f7h]

explain the 3rd quiz well🙁🙁🙁🙁

[@Misshafsah]

Thanks so much for your help❤

[@StephanieChepkoech]

Excuse me sir I have not understood well how the laws of indices have applied in x.x^1/2...please help🙏🙏

[@Emmanueloffor-z6c]

Sorry please how is 2 raised to the power of 3 8 isn't it meant to be 2 raised to the power of 4

[@AlimamyTuray-u5w]

Yes

[@KaupuMbendura]

Good well

[@BrandiSecondarySchool]

How can I calculate this:
2 to the power of 5x - 1 = 1/8 to the power of x(x - 1)

[@coolzeeee]

RHS will be 1/2^3 which gives 2^-3
Then LHS is 2^(5x-1)as you said. So we can equate exponents since bases are equal... So 5x - 1 =-3
5x =-2 and so x=-2/5 or - 0.4
Let me know if that helps 😅
Also checkout my channel for more helpful Math videos

[@duvalmomo]

Please clearify quadratic equations and functions in A level

[@IsholaKaotharolabisi]

Please in question 2whereis the 2

[@emmanuelochieng8908]

What about when given 12^3x+1=4^3x+1 and told to find x?

[@aarontembo2813]

Thanks for helping me

[@jacobsichambaonlinemath5090]

Any time

[@SamuelMutaawe-l9v]

But I think u made a mistake on part 2 sir while cross multiplying

[@wezieroc]

this mathematics is for engineering mathematics or what

[@kikikinyua7025]

🤣🤣

[@BensonNgulube-iy5wi]

We don't know

[@Tumusiime-mq1nk]

Aaaaa how can you multiply 1/x^4=625 and just make inter changes

[@TinotendaMuzah]

Very good question 😅 I am also get confused here

[@ipinge_reinhold]

Plz redo questions (b)

[@MargretMudenda-f8f]

How did you find x -3/2

[@MaryamAdebukola-r4h]

Please I need clear explanation on question C

[@essammorsy1908]

شكرا

[@Bishirii-fu9wf]

Thonk you ❤❤❤❤❤❤❤❤❤

[@Lawrencia-c6o]

When a question is giving maybe 5×+1=625, how will you solve it

[@Baby8vivian]

5x + 1 = 625
Subtract 1 from both sides of the equation
5x + 1 (- 1) = 625 - 1
5x = 624
Divide 5 by both sides of the equation to make x subject of the formula
5X ÷ 5 = 624 ÷ 5
X = 124.8

[@AleshaSeverinus]

I don't understand letter b sir
I need help

[@Sifaya-z7u]

Where is three coming from

[@MondeSampaya]

Why didn't we make the last question have the same base I'm confused

[@arowosafejolade7409]

Pls what year is this

[@VincentPhiri-gc4dx]

Am new here guys

[@HenrySimonJoseph]

Good teacher

[@HumphreyMulenga-rb9bd]

I want you to solve for me (1/3 )-1

[@ananiasyohana5344]

Solve this 2 rest to power x minus y equal to 16

[@destinylonglife5821]

Too fast bro, clear explanation.

[@GregoryMaina-n7f]

All was well until the last part

[@Obenewaa7]

Am I the only one who is confused here

[@atighttbett6478]

Drop them digits

[@Thehouseguy123]

No, and I’m wondering why the numbers are big and the rest are small?

[@ozgamerab8780]

1:17 So what he did here is made the base of each expression the same. This means that we can just get rid of these bases, due to their equivalence, and bring the exponents down as bases.

[@coolzeeee]

Which part

[@MaryKangwakabwe]

Not at all

[@NtumiMonoge-mv1tn]

❤❤❤❤

[@Lawrenceobinnaaka]

I do not understand ( c)

[@MaryMakubale-j8w]

Not clear on the last one

[@phanibhusansaharoy5843]

Yes

[@feelz_Zm]

🤐🤐🤐

[@jenifferasimwe5709]

How did u cross multiply

[@EsterNakashole]

Question c is confusing

[@MugishaDerek]

I didn't understand

[@coolzeeee]

Which part...

[@BensonNgulube-iy5wi]

Give us grade

[@BunmiKolade-g5q]

I don't understand oooooo

[@manuelnakwakiru]

am not with u ...sir I think you have not cross multiplied well

[@OkorieNgozi-oy3gs]

Bad teaching

[@MonicaBelix]

You lost me at (b)👎👎

[@AlimamyTuray-u5w]

You need to learn before you can teach better

[@prankster-100]

This guy don't know how to explain 😢

[@SkillfulCounter1-mm7lk]

@Obenewaa7 just say that you don't understand what am confused

[@BensonNgulube-iy5wi]

Give us grade

[@AlimamyTuray-u5w]

You need to learn before you can teach better