Math, asked by akhtar85, 1 year ago

if (2/9)power x-1=(9/2)power x-5 find the value of x

Answers

Answered by mysticd
0
Solution:

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We know the Exponential laws :

i ) ( a/b )ⁿ = ( b/a )^-1

ii ) If a^m = a^n then m = n

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Now ,

( 2/9 )^(x-1) = ( 9/2 )^(x-5)

=> ( 9/2 )^-(x-1) = ( 9/2 )^x-5

=> - ( x - 1 ) = x - 5

=> 0 = x - 5 + x - 1

=> 0 = 2x - 6

=> 2x - 6 = 0

=> 2x = 6

=> x = 6/2

x = 3

Therefore ,

x = 3

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