Question

solve for x : 81 power -2 ÷ 729 power 1-x = 9 power 2x​

Answer 1

Answer:

x=7

Step-by-step explanation:

81^(-2) / 729^(1-x) = 9^(2x)

9^(2*-2) / 9^(3(1-x)) = 9^(2x)

9^(-4) / 9^(3-3x) = 9^(2x)

9^(-4-(3-3x))=9^(2x)

9^(-4-3+3x) = 9^(2x)

9^(-7+3x) = 9^(2x)

As coefficient both sides are equal we compare exponent

-7+3x = 2x

3x-x = 7

x = 7

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