Indicial equations. Learn how to solve equations that have to do with indices.

In this lesson, you will lea n how to reduces indicial equations to simple linear equation, and how to simplify it.
Before you go through this lesson, you may need to go through the previous lesson on laws of indices which will help you understand this lesson. the link is below.
laws of indices.
• Laws of indices with s...
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[@ellifer380]

"5^2x+1 + 5^2x = 150"
First rewrite the "5^2x+1" as "5^2x • 5¹"
5^2x • 5¹ + 5^2x = 150
Second: Factor out the "5^2x"
5^2x(1•5+1) = 150
Third: Add the numbers inside the parenthesis then times it to "5^2x"
6(5^2x) = 150
Fourth: Divide both side by '6'
5^2x = 25
Five: Rewrite "25" as 5²
5^2x = 5²
Sixth: Solve for x
2x = 2 ~> x = 1
Therefore the value of "x" is 1.
Checking:
5^2(1)+1 + 5^2(1) = 150
5³+5² = 150
125+25 = 150
150 = 150

[@njabulomsibi5622]

One of the best,we thank you sir ,god bless you

[@Prosperousonlinemaths]

Thanks enough

[@LaminSowe-ys6tx]

Great lesson!

[@Prosperousonlinemaths]

Thank you

[@OgunyeyeTaiwoBlessing]

The X of the last question is 37.25

[@tasnuvarahman9115]

Hello, can you please solve number e. Thank You.

[@Prosperousonlinemaths]

Okay, I will post it today in the afternoon...

[@tasnuvarahman9115]

X = 1, i understood it when i realized, i need to split 150 by addition not multiplication 🤭​@sirp-mathstutorial

[@Prosperousonlinemaths]

Beautiful... I will still make a post on it today or tomorrow.

[@kiv_daniels]

Please the 2. Eg 2 raised to the power x multiplied by 5 raised to the power x would give 10x squared not 10x but the first one is 10 x

[@happyfam28]

I got an answer of x= 10 4 over 6

[@syedmdabid7191]

Indicial means the exponential.

[@Prosperousonlinemaths]

Exactly... Indices or exponent or power.

[@The_Idea_of_Dream_Vision]

2^x+1= 5 I got lost on this one since the the bases don't HV common base

[@Prosperousonlinemaths]

Okay, I will make another video to explain it better, keep an eye on my channel.

[@The_Idea_of_Dream_Vision]

@@Prosperousonlinemaths alright thank you

[@OjokGeoffrey-wt5zymtc]

I see x as 1

[@chidimmajudith3545]

Please sir I really need to see the answer I stocked on the road😢

[@Prosperousonlinemaths]

Chat me on whatsapp[phone]

[@SergioRobles-j6f]

El valor de x=1 en el último ejercicio

[@JoyBamisaye]

37.25