Solve the Exponential System of Equations | Learn how to solve this Question without anxiety

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Solve the Exponential System of Equations | Learn how to solve this Question without anxiety

Olympiad Mathematical Question! | Learn Tips how to solve Olympiad Question without hassle and anxiety!

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[jimmykitty]

Wow! Such a fantastic mathematical problem! keep going ❤
Much love ❤

[ganeshdas]

On substitution (7)^ab = 343=7^3 as such equating the powers ab = 3

[salimahmad]

It is so nicely explained here.
It was looking to be difficult one.

[sigmamaleslogokijalegi]

Solved it in seconds, thanks for providing the problem

[sandanadurair]

There is a small confusion in problem definition.
It is shown as 7a = 77 in youtube list.
However i solved it as 7^a= 77

[HappyFamilyOnline]

Amazing👍
Thank you so much for sharing😊

[srividhyamoorthy]

Nice, keep going, 3 videos in a day u rock!!

[nirupamasingh]

V nice. A quick revision of exponents in simple steps.

[osamaalsatari]

realy a very nice problem. also we can take logarethm of both equations and calculate value of a &b then substitute in a.b=?

[parikshitparekh]

Done
I'm getting better practice for my exams :)

[monroeclewis]

In a few compact lines: 7^a x 77^b = 77^1 x 7^3 (343=7^3) By correspondence, b=1 and a=3. ab = 3 x 1 = 3.

[ankurdwivedi]

Another solution is taking log both sides in both equations and getting value of a and b individually
Log 7^a = log77
a= log77 / log7.. eq1
Similarly b = log 343/log77.. eq2
Multiplying eq1 and eq2,
We get ab = log 343 / log7
ab = (3× log 7)/ log 7
ab = 3

[Lolo-uzuy]

This is quite easy can solve it mentally to get the answer

[sandipVR]

Sir, plz include logical questions also.

[dreael]

Nice solution. I used the logarithmic way as follow: a = log7(77) which can be transformed as a = ln(77)/ln(7). The same with b: b=log77(343) = ln(343)/ln(77) Now we can fill in the blanks in a*b: a*b = (ln(77)/ln(7) * (ln(343)/ln(77) = (ln(77) * ln(343)) / (ln(7) * ln(77)) => ln(77) cancels out: a*b=ln(343)/ln(7) which can be transformed into a*b=ln(7^3)/ln(7) and then a*b=3*ln(7)/ln(7) => ln(7) is gone: a*b = 3 as shown in your video.

[devondevon]

7^a=77
77^b=7^3
77= 7^3/b raised both sides to the 1/b
7^3/b =7^a
3/b=a
3=ab Answer

[cp_driftr]

Shouldn't it be 49^ab instead of 7^ab??

[sriyanijayarthna]

I solved another difficult way.😂 (11×7)^b÷3=7. However your method is very easy and thank you for your help.🤩

[math]

excellent presentation, great job solving this exponential system of equations

[susennath]

Nice


Very simple but common people became puzzled 🐒🐒🐒🐒🐒🐒