Question

3^(3x-5)=1/9x find the value of X ​

Answer 1

Answer:

3

3x−5

=

9

x

1

3

3x−5

=

3 2x

3

3x−5

=3

−2x

Since the base is same, we can equate the powers.

So, 3x−5=−2x

⇒5x=5

⇒x=1

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Answer 2

$3^{3x-5}$ = $\frac{1}{9x}$ ;

$3^{3x-5}$ = $\frac{1}{3^{2} ^{x} }$ ;

$3^{3x-5}$ = $3^{-2x}$ ;

as bases are same in both the sides both gets cancelled.

Therefore,

3x-5 = -2x ;

5x = 5 ;

x = 1

The value of x is 1