Question

If 9^x×3^2×(3-x/2)^-2=1/27,find x.​

Answer 1

Answer:

Given, 3

x

×27

x

=9

x+4

⇒3

x

×(3)

3x

=3

[2(x+4)]

⇒3

4x

=3

2(x+4)

.....Using a

m

×a

n

=a

m+n

As the bases are equal i.e. 3, their powers must be equal.

Therefore, 4x=2x+8

⇒2x=8

⇒x=4

Step-by-step explanation:

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