Math, asked by Divyankasc, 1 year ago

100 points! Please answer ASAP! Test test! Please!

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Answers

Answered by FlameFires

I'm getting 1. I've done multiple identities in same step so if you have doubt feel free to ask.

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Divyankasc: I always forget to use that while solving! Hah! Well, thanks for the thousandth time!! :P :D

Divyankasc: I understood everything! :D

FlameFires: welcome

Divyankasc: Please answer my another question too! (If you have time)

Divyankasc: Please help me with this question! '_'
https://brainly.in/question/1165416?utm_source=android&utm_medium=share&utm_campaign=question

FlameFires: Welcome. Sorry I had to go offline for a while.

Divyankasc: Aye, np! ^^ I'm sorry I'm troubling ya lol

FlameFires: Any more doubts?

Divyankasc: Yes, one

FlameFires: Quick post it.

Answered by abhi178

we know ,
log ( a base b ) = 1/log ( b base a )

use this concept here ,

[ 81 ^{1/log (9 base 5 )} + 3^{3/log ( 3 base√6 ) } ]/409.[ (√7)^{2/log(7 base 25)} - (125)^{log ( 6 base 25) }

solution :-
81^{1/log(9 base 5)
= (9²)^{log( 5 base 9)
= 9^{ log5² base 9 )
= 25

3^{ 3/log(3 base √6 )
=3^{3log( √6 base 3) }
=3^{ log(√6³ base 3)
=√6³
=6√6

(√7)^{ 2/log(7 base 25) }
=(√7)^{2log(25 base 7)
=(7)^{2×1/2log(25 base 7)}
=(7)^{log(25 base 7) }
=25

(125)^{log( 6 base 25 )
=(5³)^{log ( 6 base 5² )
=(5)^{3/2log( 6 base 5)
= (6)^3/2
=6√6

now,
put all calculated value in question ,

=(25 + 6√6)(25 -6√6)/409
=(625 -216)/409
=409/409
= 1

hence , answer is 1

Divyankasc: You people are great! Thanks!

Divyankasc: really!

abhi178: lol

abhi178: btw thank you

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