Question

solve for x
9^x = 1/729

Answer 1

9^x = 1/729
1/9^-x = 1/9^3

so,-x = 3
x = -3

Answer 2

Q. Solve for x
9^x = 1/729

Solution :

By finding,
the factors of 729 = 9×9×9 = (9)^3

So,

=> 9^x = 1/(9)^3

=> 9^x = (9)^-3

Now bases are same,
now equating their powers

=> x = -3

Hence, value of x = -3

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Verification

(9)^x

Putting the value of x = -3

= 9^-3

= 1/(9)^3

= 1/729