[tex]if (4/11)power x-1+(11/4) power x-5,then x is equal to
[/tex]
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Answered by
4
(4/11)^( x -1) = (4/11)^(x -5)
use a^(-m) = (1/a)^m concept
so,
(4/11)^( x -1) = (4/11)^{-(x -5)}
(4/11)^(x -1) =(4/11)^(5-x)
x -1 = 5 -x
x = 3
use a^(-m) = (1/a)^m concept
so,
(4/11)^( x -1) = (4/11)^{-(x -5)}
(4/11)^(x -1) =(4/11)^(5-x)
x -1 = 5 -x
x = 3
Answered by
1
Step-by-step explanation:
Given equation is (4/11)^(x-1) = (11/4)^(x-5)
=> (11/4)^(1-x) = (11/4)^(x-5)
Since a^-n = 1/a^n
and
Since the bases are equal then exponents must be equal.
=> 1-x = x-5
=> 1+5 = x+x
=> 6 = 2x
=> 2x = 6
=> x = 6/2
=> x = 3
The value of x = 3
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