(3^-x)^-2 x 3^x * 81 = 1/9
solve for x
hint: answer should be -2
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(3^-x)^-2 x 3^x * 81 = 1/9
solve for x
hint: answer should be -2
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Answer:
x = -2
Step-by-step explanation:
(3^-x)^-2 * 3^x * 81 = 1/9
(3)^-x*-2 * 3^x = 1/9*81
3^2x * 3^x= 1/729
3^(2x+x) = 1/729
3^3x = 1/729
3^3x = 1/(3^6) [bcoz 729 = 3^6]
Making the base on both the sides same,
3^3x = 3^-6
Since base on both sides are same i.e. 3
we conclude that
3x = -6
x = -6/3
So, x = -2